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Finding the Third Proportional to 363,686.25 and 790,325.25

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Solution

The third proportional to 363,686.25 and 790,325.25 is: 1,717,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,686.25 : 790,325.25 = 790,325.25 : x
  2. Step 2: Convert to fraction form
    363,686.25/790,325.25 = 790,325.25/x
  3. Step 3: Cross multiply
    363,686.25x = 790,325.25 × 790,325.25
  4. Step 4: Simplify right side
    363,686.25x = 624,614,000,787.56
  5. Step 5: Solve for x
    x = 624,614,000,787.56/363,686.25
  6. Step 6: Final answer
    x = 1,717,452.89

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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.