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Finding the Third Proportional to 400,204 and 562,866

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Solution

The third proportional to 400,204 and 562,866 is: 791,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,204 : 562,866 = 562,866 : x
  2. Step 2: Convert to fraction form
    400,204/562,866 = 562,866/x
  3. Step 3: Cross multiply
    400,204x = 562,866 × 562,866
  4. Step 4: Simplify right side
    400,204x = 316,818,133,956
  5. Step 5: Solve for x
    x = 316,818,133,956/400,204
  6. Step 6: Final answer
    x = 791,641.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.