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Finding the Third Proportional to 442,014 and 679,801

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Solution

The third proportional to 442,014 and 679,801 is: 1,045,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,014 : 679,801 = 679,801 : x
  2. Step 2: Convert to fraction form
    442,014/679,801 = 679,801/x
  3. Step 3: Cross multiply
    442,014x = 679,801 × 679,801
  4. Step 4: Simplify right side
    442,014x = 462,129,399,601
  5. Step 5: Solve for x
    x = 462,129,399,601/442,014
  6. Step 6: Final answer
    x = 1,045,508.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.