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Finding the Third Proportional to 498,790.13 and 1,072,414.13

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Solution

The third proportional to 498,790.13 and 1,072,414.13 is: 2,305,723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,790.13 : 1,072,414.13 = 1,072,414.13 : x
  2. Step 2: Convert to fraction form
    498,790.13/1,072,414.13 = 1,072,414.13/x
  3. Step 3: Cross multiply
    498,790.13x = 1,072,414.13 × 1,072,414.13
  4. Step 4: Simplify right side
    498,790.13x = 1,150,072,055,499.52
  5. Step 5: Solve for x
    x = 1,150,072,055,499.52/498,790.13
  6. Step 6: Final answer
    x = 2,305,723.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.