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Finding the Third Proportional to 342,377 and 763,432

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Solution

The third proportional to 342,377 and 763,432 is: 1,702,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,377 : 763,432 = 763,432 : x
  2. Step 2: Convert to fraction form
    342,377/763,432 = 763,432/x
  3. Step 3: Cross multiply
    342,377x = 763,432 × 763,432
  4. Step 4: Simplify right side
    342,377x = 582,828,418,624
  5. Step 5: Solve for x
    x = 582,828,418,624/342,377
  6. Step 6: Final answer
    x = 1,702,300.15

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.