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Finding the Third Proportional to 354,642 and 532,317

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Solution

The third proportional to 354,642 and 532,317 is: 799,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,642 : 532,317 = 532,317 : x
  2. Step 2: Convert to fraction form
    354,642/532,317 = 532,317/x
  3. Step 3: Cross multiply
    354,642x = 532,317 × 532,317
  4. Step 4: Simplify right side
    354,642x = 283,361,388,489
  5. Step 5: Solve for x
    x = 283,361,388,489/354,642
  6. Step 6: Final answer
    x = 799,006.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.