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Finding the Third Proportional to 475,175.25 and 1,034,001.75

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Solution

The third proportional to 475,175.25 and 1,034,001.75 is: 2,250,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,175.25 : 1,034,001.75 = 1,034,001.75 : x
  2. Step 2: Convert to fraction form
    475,175.25/1,034,001.75 = 1,034,001.75/x
  3. Step 3: Cross multiply
    475,175.25x = 1,034,001.75 × 1,034,001.75
  4. Step 4: Simplify right side
    475,175.25x = 1,069,159,619,003.06
  5. Step 5: Solve for x
    x = 1,069,159,619,003.06/475,175.25
  6. Step 6: Final answer
    x = 2,250,032.21

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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.