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Finding the Third Proportional to 475,175.75 and 1,034,002.75

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Solution

The third proportional to 475,175.75 and 1,034,002.75 is: 2,250,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,175.75 : 1,034,002.75 = 1,034,002.75 : x
  2. Step 2: Convert to fraction form
    475,175.75/1,034,002.75 = 1,034,002.75/x
  3. Step 3: Cross multiply
    475,175.75x = 1,034,002.75 × 1,034,002.75
  4. Step 4: Simplify right side
    475,175.75x = 1,069,161,687,007.56
  5. Step 5: Solve for x
    x = 1,069,161,687,007.56/475,175.75
  6. Step 6: Final answer
    x = 2,250,034.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.