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Finding the Third Proportional to 285,792 and 627,632

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Solution

The third proportional to 285,792 and 627,632 is: 1,378,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,792 : 627,632 = 627,632 : x
  2. Step 2: Convert to fraction form
    285,792/627,632 = 627,632/x
  3. Step 3: Cross multiply
    285,792x = 627,632 × 627,632
  4. Step 4: Simplify right side
    285,792x = 393,921,927,424
  5. Step 5: Solve for x
    x = 393,921,927,424/285,792
  6. Step 6: Final answer
    x = 1,378,351.83

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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.