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Finding the Third Proportional to 187,719 and 408,486

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Solution

The third proportional to 187,719 and 408,486 is: 888,886.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,719 : 408,486 = 408,486 : x
  2. Step 2: Convert to fraction form
    187,719/408,486 = 408,486/x
  3. Step 3: Cross multiply
    187,719x = 408,486 × 408,486
  4. Step 4: Simplify right side
    187,719x = 166,860,812,196
  5. Step 5: Solve for x
    x = 166,860,812,196/187,719
  6. Step 6: Final answer
    x = 888,886.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.