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Finding the Third Proportional to 274,379,115 and 588,544,080

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Solution

The third proportional to 274,379,115 and 588,544,080 is: 1,262,428,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,379,115 : 588,544,080 = 588,544,080 : x
  2. Step 2: Convert to fraction form
    274,379,115/588,544,080 = 588,544,080/x
  3. Step 3: Cross multiply
    274,379,115x = 588,544,080 × 588,544,080
  4. Step 4: Simplify right side
    274,379,115x = 346,384,134,103,046,400
  5. Step 5: Solve for x
    x = 346,384,134,103,046,400/274,379,115
  6. Step 6: Final answer
    x = 1,262,428,935.61

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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.