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Finding the Third Proportional to 412,428 and 627,282

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Solution

The third proportional to 412,428 and 627,282 is: 954,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,428 : 627,282 = 627,282 : x
  2. Step 2: Convert to fraction form
    412,428/627,282 = 627,282/x
  3. Step 3: Cross multiply
    412,428x = 627,282 × 627,282
  4. Step 4: Simplify right side
    412,428x = 393,482,707,524
  5. Step 5: Solve for x
    x = 393,482,707,524/412,428
  6. Step 6: Final answer
    x = 954,064.00

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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.