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Finding the Third Proportional to 391,456.13 and 834,185.25

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Solution

The third proportional to 391,456.13 and 834,185.25 is: 1,777,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,456.13 : 834,185.25 = 834,185.25 : x
  2. Step 2: Convert to fraction form
    391,456.13/834,185.25 = 834,185.25/x
  3. Step 3: Cross multiply
    391,456.13x = 834,185.25 × 834,185.25
  4. Step 4: Simplify right side
    391,456.13x = 695,865,031,317.56
  5. Step 5: Solve for x
    x = 695,865,031,317.56/391,456.13
  6. Step 6: Final answer
    x = 1,777,632.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.