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Finding the Third Proportional to 363,701.81 and 790,359.19

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Solution

The third proportional to 363,701.81 and 790,359.19 is: 1,717,526.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,701.81 : 790,359.19 = 790,359.19 : x
  2. Step 2: Convert to fraction form
    363,701.81/790,359.19 = 790,359.19/x
  3. Step 3: Cross multiply
    363,701.81x = 790,359.19 × 790,359.19
  4. Step 4: Simplify right side
    363,701.81x = 624,667,645,265.66
  5. Step 5: Solve for x
    x = 624,667,645,265.66/363,701.81
  6. Step 6: Final answer
    x = 1,717,526.90

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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.