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Finding the Third Proportional to 532,374 and 797,739

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Solution

The third proportional to 532,374 and 797,739 is: 1,195,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,374 : 797,739 = 797,739 : x
  2. Step 2: Convert to fraction form
    532,374/797,739 = 797,739/x
  3. Step 3: Cross multiply
    532,374x = 797,739 × 797,739
  4. Step 4: Simplify right side
    532,374x = 636,387,512,121
  5. Step 5: Solve for x
    x = 636,387,512,121/532,374
  6. Step 6: Final answer
    x = 1,195,376.77

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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.