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Finding the Third Proportional to 625,292 and 967,828

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Solution

The third proportional to 625,292 and 967,828 is: 1,498,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,292 : 967,828 = 967,828 : x
  2. Step 2: Convert to fraction form
    625,292/967,828 = 967,828/x
  3. Step 3: Cross multiply
    625,292x = 967,828 × 967,828
  4. Step 4: Simplify right side
    625,292x = 936,691,037,584
  5. Step 5: Solve for x
    x = 936,691,037,584/625,292
  6. Step 6: Final answer
    x = 1,498,005.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.