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Finding the Third Proportional to 625,017.75 and 884,974.13

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Solution

The third proportional to 625,017.75 and 884,974.13 is: 1,253,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,017.75 : 884,974.13 = 884,974.13 : x
  2. Step 2: Convert to fraction form
    625,017.75/884,974.13 = 884,974.13/x
  3. Step 3: Cross multiply
    625,017.75x = 884,974.13 × 884,974.13
  4. Step 4: Simplify right side
    625,017.75x = 783,179,201,919.52
  5. Step 5: Solve for x
    x = 783,179,201,919.52/625,017.75
  6. Step 6: Final answer
    x = 1,253,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.