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Finding the Third Proportional to 391,813 and 541,396.50

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Solution

The third proportional to 391,813 and 541,396.50 is: 748,086.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,813 : 541,396.50 = 541,396.50 : x
  2. Step 2: Convert to fraction form
    391,813/541,396.50 = 541,396.50/x
  3. Step 3: Cross multiply
    391,813x = 541,396.50 × 541,396.50
  4. Step 4: Simplify right side
    391,813x = 293,110,170,212.25
  5. Step 5: Solve for x
    x = 293,110,170,212.25/391,813
  6. Step 6: Final answer
    x = 748,086.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.