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Finding the Third Proportional to 250,616 and 542,782

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Solution

The third proportional to 250,616 and 542,782 is: 1,175,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,616 : 542,782 = 542,782 : x
  2. Step 2: Convert to fraction form
    250,616/542,782 = 542,782/x
  3. Step 3: Cross multiply
    250,616x = 542,782 × 542,782
  4. Step 4: Simplify right side
    250,616x = 294,612,299,524
  5. Step 5: Solve for x
    x = 294,612,299,524/250,616
  6. Step 6: Final answer
    x = 1,175,552.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.