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Finding the Third Proportional to 285,468 and 627,432

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Solution

The third proportional to 285,468 and 627,432 is: 1,379,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,468 : 627,432 = 627,432 : x
  2. Step 2: Convert to fraction form
    285,468/627,432 = 627,432/x
  3. Step 3: Cross multiply
    285,468x = 627,432 × 627,432
  4. Step 4: Simplify right side
    285,468x = 393,670,914,624
  5. Step 5: Solve for x
    x = 393,670,914,624/285,468
  6. Step 6: Final answer
    x = 1,379,036.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.