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Finding the Third Proportional to 332,987 and 521,802

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Solution

The third proportional to 332,987 and 521,802 is: 817,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,987 : 521,802 = 521,802 : x
  2. Step 2: Convert to fraction form
    332,987/521,802 = 521,802/x
  3. Step 3: Cross multiply
    332,987x = 521,802 × 521,802
  4. Step 4: Simplify right side
    332,987x = 272,277,327,204
  5. Step 5: Solve for x
    x = 272,277,327,204/332,987
  6. Step 6: Final answer
    x = 817,681.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.