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Finding the Third Proportional to 357,596 and 540,039

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Solution

The third proportional to 357,596 and 540,039 is: 815,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,596 : 540,039 = 540,039 : x
  2. Step 2: Convert to fraction form
    357,596/540,039 = 540,039/x
  3. Step 3: Cross multiply
    357,596x = 540,039 × 540,039
  4. Step 4: Simplify right side
    357,596x = 291,642,121,521
  5. Step 5: Solve for x
    x = 291,642,121,521/357,596
  6. Step 6: Final answer
    x = 815,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.