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Finding the Third Proportional to 412,432 and 627,288

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Solution

The third proportional to 412,432 and 627,288 is: 954,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,432 : 627,288 = 627,288 : x
  2. Step 2: Convert to fraction form
    412,432/627,288 = 627,288/x
  3. Step 3: Cross multiply
    412,432x = 627,288 × 627,288
  4. Step 4: Simplify right side
    412,432x = 393,490,234,944
  5. Step 5: Solve for x
    x = 393,490,234,944/412,432
  6. Step 6: Final answer
    x = 954,073.00

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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.