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Finding the Third Proportional to 415,757 and 627,380

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Solution

The third proportional to 415,757 and 627,380 is: 946,720.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,757 : 627,380 = 627,380 : x
  2. Step 2: Convert to fraction form
    415,757/627,380 = 627,380/x
  3. Step 3: Cross multiply
    415,757x = 627,380 × 627,380
  4. Step 4: Simplify right side
    415,757x = 393,605,664,400
  5. Step 5: Solve for x
    x = 393,605,664,400/415,757
  6. Step 6: Final answer
    x = 946,720.47

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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.