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Finding the Third Proportional to 402,514 and 861,389

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Solution

The third proportional to 402,514 and 861,389 is: 1,843,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,514 : 861,389 = 861,389 : x
  2. Step 2: Convert to fraction form
    402,514/861,389 = 861,389/x
  3. Step 3: Cross multiply
    402,514x = 861,389 × 861,389
  4. Step 4: Simplify right side
    402,514x = 741,991,009,321
  5. Step 5: Solve for x
    x = 741,991,009,321/402,514
  6. Step 6: Final answer
    x = 1,843,391.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.