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Finding the Third Proportional to 187,424 and 411,324

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Solution

The third proportional to 187,424 and 411,324 is: 902,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,424 : 411,324 = 411,324 : x
  2. Step 2: Convert to fraction form
    187,424/411,324 = 411,324/x
  3. Step 3: Cross multiply
    187,424x = 411,324 × 411,324
  4. Step 4: Simplify right side
    187,424x = 169,187,432,976
  5. Step 5: Solve for x
    x = 169,187,432,976/187,424
  6. Step 6: Final answer
    x = 902,698.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.