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Finding the Third Proportional to 415,768 and 627,414

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Solution

The third proportional to 415,768 and 627,414 is: 946,798.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,768 : 627,414 = 627,414 : x
  2. Step 2: Convert to fraction form
    415,768/627,414 = 627,414/x
  3. Step 3: Cross multiply
    415,768x = 627,414 × 627,414
  4. Step 4: Simplify right side
    415,768x = 393,648,327,396
  5. Step 5: Solve for x
    x = 393,648,327,396/415,768
  6. Step 6: Final answer
    x = 946,798.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.