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Finding the Third Proportional to 627,478 and 969,560

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Solution

The third proportional to 627,478 and 969,560 is: 1,498,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,478 : 969,560 = 969,560 : x
  2. Step 2: Convert to fraction form
    627,478/969,560 = 969,560/x
  3. Step 3: Cross multiply
    627,478x = 969,560 × 969,560
  4. Step 4: Simplify right side
    627,478x = 940,046,593,600
  5. Step 5: Solve for x
    x = 940,046,593,600/627,478
  6. Step 6: Final answer
    x = 1,498,134.75

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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.