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Finding the Third Proportional to 172,029 and 404,790

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Solution

The third proportional to 172,029 and 404,790 is: 952,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,029 : 404,790 = 404,790 : x
  2. Step 2: Convert to fraction form
    172,029/404,790 = 404,790/x
  3. Step 3: Cross multiply
    172,029x = 404,790 × 404,790
  4. Step 4: Simplify right side
    172,029x = 163,854,944,100
  5. Step 5: Solve for x
    x = 163,854,944,100/172,029
  6. Step 6: Final answer
    x = 952,484.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.