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Finding the Third Proportional to 625,014 and 884,972.25

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Solution

The third proportional to 625,014 and 884,972.25 is: 1,253,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,014 : 884,972.25 = 884,972.25 : x
  2. Step 2: Convert to fraction form
    625,014/884,972.25 = 884,972.25/x
  3. Step 3: Cross multiply
    625,014x = 884,972.25 × 884,972.25
  4. Step 4: Simplify right side
    625,014x = 783,175,883,270.06
  5. Step 5: Solve for x
    x = 783,175,883,270.06/625,014
  6. Step 6: Final answer
    x = 1,253,053.34

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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.