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Finding the Third Proportional to 187,707 and 408,462

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Solution

The third proportional to 187,707 and 408,462 is: 888,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,707 : 408,462 = 408,462 : x
  2. Step 2: Convert to fraction form
    187,707/408,462 = 408,462/x
  3. Step 3: Cross multiply
    187,707x = 408,462 × 408,462
  4. Step 4: Simplify right side
    187,707x = 166,841,205,444
  5. Step 5: Solve for x
    x = 166,841,205,444/187,707
  6. Step 6: Final answer
    x = 888,838.48

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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.