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Finding the Third Proportional to 250,987,344 and 543,653,520

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Solution

The third proportional to 250,987,344 and 543,653,520 is: 1,177,585,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,987,344 : 543,653,520 = 543,653,520 : x
  2. Step 2: Convert to fraction form
    250,987,344/543,653,520 = 543,653,520/x
  3. Step 3: Cross multiply
    250,987,344x = 543,653,520 × 543,653,520
  4. Step 4: Simplify right side
    250,987,344x = 295,559,149,808,390,400
  5. Step 5: Solve for x
    x = 295,559,149,808,390,400/250,987,344
  6. Step 6: Final answer
    x = 1,177,585,869.86

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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.