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Finding the Third Proportional to 342,632 and 736,294

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Solution

The third proportional to 342,632 and 736,294 is: 1,582,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,632 : 736,294 = 736,294 : x
  2. Step 2: Convert to fraction form
    342,632/736,294 = 736,294/x
  3. Step 3: Cross multiply
    342,632x = 736,294 × 736,294
  4. Step 4: Simplify right side
    342,632x = 542,128,854,436
  5. Step 5: Solve for x
    x = 542,128,854,436/342,632
  6. Step 6: Final answer
    x = 1,582,248.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.