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Finding the Third Proportional to 250,560 and 539,896

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Solution

The third proportional to 250,560 and 539,896 is: 1,163,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,560 : 539,896 = 539,896 : x
  2. Step 2: Convert to fraction form
    250,560/539,896 = 539,896/x
  3. Step 3: Cross multiply
    250,560x = 539,896 × 539,896
  4. Step 4: Simplify right side
    250,560x = 291,487,690,816
  5. Step 5: Solve for x
    x = 291,487,690,816/250,560
  6. Step 6: Final answer
    x = 1,163,344.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.