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Finding the Third Proportional to 251,841 and 547,989

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Solution

The third proportional to 251,841 and 547,989 is: 1,192,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,841 : 547,989 = 547,989 : x
  2. Step 2: Convert to fraction form
    251,841/547,989 = 547,989/x
  3. Step 3: Cross multiply
    251,841x = 547,989 × 547,989
  4. Step 4: Simplify right side
    251,841x = 300,291,944,121
  5. Step 5: Solve for x
    x = 300,291,944,121/251,841
  6. Step 6: Final answer
    x = 1,192,387.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.