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Finding the Third Proportional to 251,840 and 547,986

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Solution

The third proportional to 251,840 and 547,986 is: 1,192,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,840 : 547,986 = 547,986 : x
  2. Step 2: Convert to fraction form
    251,840/547,986 = 547,986/x
  3. Step 3: Cross multiply
    251,840x = 547,986 × 547,986
  4. Step 4: Simplify right side
    251,840x = 300,288,656,196
  5. Step 5: Solve for x
    x = 300,288,656,196/251,840
  6. Step 6: Final answer
    x = 1,192,378.72

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