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Finding the Third Proportional to 361,705.50 and 794,350.13

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Solution

The third proportional to 361,705.50 and 794,350.13 is: 1,744,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,705.50 : 794,350.13 = 794,350.13 : x
  2. Step 2: Convert to fraction form
    361,705.50/794,350.13 = 794,350.13/x
  3. Step 3: Cross multiply
    361,705.50x = 794,350.13 × 794,350.13
  4. Step 4: Simplify right side
    361,705.50x = 630,992,121,087.52
  5. Step 5: Solve for x
    x = 630,992,121,087.52/361,705.50
  6. Step 6: Final answer
    x = 1,744,491.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.