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Finding the Third Proportional to 415,332 and 631,208

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Solution

The third proportional to 415,332 and 631,208 is: 959,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,332 : 631,208 = 631,208 : x
  2. Step 2: Convert to fraction form
    415,332/631,208 = 631,208/x
  3. Step 3: Cross multiply
    415,332x = 631,208 × 631,208
  4. Step 4: Simplify right side
    415,332x = 398,423,539,264
  5. Step 5: Solve for x
    x = 398,423,539,264/415,332
  6. Step 6: Final answer
    x = 959,289.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.