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Finding the Third Proportional to 285,906 and 627,864

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Solution

The third proportional to 285,906 and 627,864 is: 1,378,821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,906 : 627,864 = 627,864 : x
  2. Step 2: Convert to fraction form
    285,906/627,864 = 627,864/x
  3. Step 3: Cross multiply
    285,906x = 627,864 × 627,864
  4. Step 4: Simplify right side
    285,906x = 394,213,202,496
  5. Step 5: Solve for x
    x = 394,213,202,496/285,906
  6. Step 6: Final answer
    x = 1,378,821.02

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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.