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Finding the Third Proportional to 250,035 and 539,436

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Solution

The third proportional to 250,035 and 539,436 is: 1,163,801.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,035 : 539,436 = 539,436 : x
  2. Step 2: Convert to fraction form
    250,035/539,436 = 539,436/x
  3. Step 3: Cross multiply
    250,035x = 539,436 × 539,436
  4. Step 4: Simplify right side
    250,035x = 290,991,198,096
  5. Step 5: Solve for x
    x = 290,991,198,096/250,035
  6. Step 6: Final answer
    x = 1,163,801.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.