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Finding the Third Proportional to 412,436 and 627,294

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Solution

The third proportional to 412,436 and 627,294 is: 954,082.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,436 : 627,294 = 627,294 : x
  2. Step 2: Convert to fraction form
    412,436/627,294 = 627,294/x
  3. Step 3: Cross multiply
    412,436x = 627,294 × 627,294
  4. Step 4: Simplify right side
    412,436x = 393,497,762,436
  5. Step 5: Solve for x
    x = 393,497,762,436/412,436
  6. Step 6: Final answer
    x = 954,082.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.