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Finding the Third Proportional to 525,563 and 811,986

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Solution

The third proportional to 525,563 and 811,986 is: 1,254,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,563 : 811,986 = 811,986 : x
  2. Step 2: Convert to fraction form
    525,563/811,986 = 811,986/x
  3. Step 3: Cross multiply
    525,563x = 811,986 × 811,986
  4. Step 4: Simplify right side
    525,563x = 659,321,264,196
  5. Step 5: Solve for x
    x = 659,321,264,196/525,563
  6. Step 6: Final answer
    x = 1,254,504.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.