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Finding the Third Proportional to 361,712.25 and 794,363.63

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Solution

The third proportional to 361,712.25 and 794,363.63 is: 1,744,518.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,712.25 : 794,363.63 = 794,363.63 : x
  2. Step 2: Convert to fraction form
    361,712.25/794,363.63 = 794,363.63/x
  3. Step 3: Cross multiply
    361,712.25x = 794,363.63 × 794,363.63
  4. Step 4: Simplify right side
    361,712.25x = 631,013,568,723.14
  5. Step 5: Solve for x
    x = 631,013,568,723.14/361,712.25
  6. Step 6: Final answer
    x = 1,744,518.10

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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.