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Finding the Third Proportional to 525,417,662.25 and 739,065,521.25

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Solution

The third proportional to 525,417,662.25 and 739,065,521.25 is: 1,039,587,901.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,417,662.25 : 739,065,521.25 = 739,065,521.25 : x
  2. Step 2: Convert to fraction form
    525,417,662.25/739,065,521.25 = 739,065,521.25/x
  3. Step 3: Cross multiply
    525,417,662.25x = 739,065,521.25 × 739,065,521.25
  4. Step 4: Simplify right side
    525,417,662.25x = 546,217,844,700,534,208
  5. Step 5: Solve for x
    x = 546,217,844,700,534,208/525,417,662.25
  6. Step 6: Final answer
    x = 1,039,587,901.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.