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Finding the Third Proportional to 557,093 and 861,195

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Solution

The third proportional to 557,093 and 861,195 is: 1,331,298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,093 : 861,195 = 861,195 : x
  2. Step 2: Convert to fraction form
    557,093/861,195 = 861,195/x
  3. Step 3: Cross multiply
    557,093x = 861,195 × 861,195
  4. Step 4: Simplify right side
    557,093x = 741,656,828,025
  5. Step 5: Solve for x
    x = 741,656,828,025/557,093
  6. Step 6: Final answer
    x = 1,331,298.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.