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Finding the Third Proportional to 250,033 and 539,432

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Solution

The third proportional to 250,033 and 539,432 is: 1,163,793.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,033 : 539,432 = 539,432 : x
  2. Step 2: Convert to fraction form
    250,033/539,432 = 539,432/x
  3. Step 3: Cross multiply
    250,033x = 539,432 × 539,432
  4. Step 4: Simplify right side
    250,033x = 290,986,882,624
  5. Step 5: Solve for x
    x = 290,986,882,624/250,033
  6. Step 6: Final answer
    x = 1,163,793.91

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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.