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Finding the Third Proportional to 363,720.38 and 790,396.13

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Solution

The third proportional to 363,720.38 and 790,396.13 is: 1,717,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,720.38 : 790,396.13 = 790,396.13 : x
  2. Step 2: Convert to fraction form
    363,720.38/790,396.13 = 790,396.13/x
  3. Step 3: Cross multiply
    363,720.38x = 790,396.13 × 790,396.13
  4. Step 4: Simplify right side
    363,720.38x = 624,726,034,415.02
  5. Step 5: Solve for x
    x = 624,726,034,415.02/363,720.38
  6. Step 6: Final answer
    x = 1,717,599.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.