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Finding the Third Proportional to 408,555 and 897,731

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Solution

The third proportional to 408,555 and 897,731 is: 1,972,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,555 : 897,731 = 897,731 : x
  2. Step 2: Convert to fraction form
    408,555/897,731 = 897,731/x
  3. Step 3: Cross multiply
    408,555x = 897,731 × 897,731
  4. Step 4: Simplify right side
    408,555x = 805,920,948,361
  5. Step 5: Solve for x
    x = 805,920,948,361/408,555
  6. Step 6: Final answer
    x = 1,972,613.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.