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Finding the Third Proportional to 498,997.13 and 763,462.13

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Solution

The third proportional to 498,997.13 and 763,462.13 is: 1,168,091.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,997.13 : 763,462.13 = 763,462.13 : x
  2. Step 2: Convert to fraction form
    498,997.13/763,462.13 = 763,462.13/x
  3. Step 3: Cross multiply
    498,997.13x = 763,462.13 × 763,462.13
  4. Step 4: Simplify right side
    498,997.13x = 582,874,416,309.52
  5. Step 5: Solve for x
    x = 582,874,416,309.52/498,997.13
  6. Step 6: Final answer
    x = 1,168,091.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.