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Finding the Third Proportional to 371,898 and 763,398

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Solution

The third proportional to 371,898 and 763,398 is: 1,567,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,898 : 763,398 = 763,398 : x
  2. Step 2: Convert to fraction form
    371,898/763,398 = 763,398/x
  3. Step 3: Cross multiply
    371,898x = 763,398 × 763,398
  4. Step 4: Simplify right side
    371,898x = 582,776,506,404
  5. Step 5: Solve for x
    x = 582,776,506,404/371,898
  6. Step 6: Final answer
    x = 1,567,033.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.