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Finding the Third Proportional to 251,692 and 547,592

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Solution

The third proportional to 251,692 and 547,592 is: 1,191,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,692 : 547,592 = 547,592 : x
  2. Step 2: Convert to fraction form
    251,692/547,592 = 547,592/x
  3. Step 3: Cross multiply
    251,692x = 547,592 × 547,592
  4. Step 4: Simplify right side
    251,692x = 299,856,998,464
  5. Step 5: Solve for x
    x = 299,856,998,464/251,692
  6. Step 6: Final answer
    x = 1,191,364.84

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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.