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Finding the Third Proportional to 343,432 and 752,472

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Solution

The third proportional to 343,432 and 752,472 is: 1,648,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,432 : 752,472 = 752,472 : x
  2. Step 2: Convert to fraction form
    343,432/752,472 = 752,472/x
  3. Step 3: Cross multiply
    343,432x = 752,472 × 752,472
  4. Step 4: Simplify right side
    343,432x = 566,214,110,784
  5. Step 5: Solve for x
    x = 566,214,110,784/343,432
  6. Step 6: Final answer
    x = 1,648,693.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.