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Finding the Third Proportional to 187,792 and 407,432

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Solution

The third proportional to 187,792 and 407,432 is: 883,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,792 : 407,432 = 407,432 : x
  2. Step 2: Convert to fraction form
    187,792/407,432 = 407,432/x
  3. Step 3: Cross multiply
    187,792x = 407,432 × 407,432
  4. Step 4: Simplify right side
    187,792x = 166,000,834,624
  5. Step 5: Solve for x
    x = 166,000,834,624/187,792
  6. Step 6: Final answer
    x = 883,961.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.