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Finding the Third Proportional to 512,760.38 and 1,104,374.25

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Solution

The third proportional to 512,760.38 and 1,104,374.25 is: 2,378,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,760.38 : 1,104,374.25 = 1,104,374.25 : x
  2. Step 2: Convert to fraction form
    512,760.38/1,104,374.25 = 1,104,374.25/x
  3. Step 3: Cross multiply
    512,760.38x = 1,104,374.25 × 1,104,374.25
  4. Step 4: Simplify right side
    512,760.38x = 1,219,642,484,063.06
  5. Step 5: Solve for x
    x = 1,219,642,484,063.06/512,760.38
  6. Step 6: Final answer
    x = 2,378,581.78

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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.