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Finding the Third Proportional to 398,446 and 855,941

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Solution

The third proportional to 398,446 and 855,941 is: 1,838,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,446 : 855,941 = 855,941 : x
  2. Step 2: Convert to fraction form
    398,446/855,941 = 855,941/x
  3. Step 3: Cross multiply
    398,446x = 855,941 × 855,941
  4. Step 4: Simplify right side
    398,446x = 732,634,995,481
  5. Step 5: Solve for x
    x = 732,634,995,481/398,446
  6. Step 6: Final answer
    x = 1,838,730.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.