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Finding the Third Proportional to 250,596 and 564,282

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Solution

The third proportional to 250,596 and 564,282 is: 1,270,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,596 : 564,282 = 564,282 : x
  2. Step 2: Convert to fraction form
    250,596/564,282 = 564,282/x
  3. Step 3: Cross multiply
    250,596x = 564,282 × 564,282
  4. Step 4: Simplify right side
    250,596x = 318,414,175,524
  5. Step 5: Solve for x
    x = 318,414,175,524/250,596
  6. Step 6: Final answer
    x = 1,270,627.53

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.