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Finding the Third Proportional to 251,354 and 547,872

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Solution

The third proportional to 251,354 and 547,872 is: 1,194,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,354 : 547,872 = 547,872 : x
  2. Step 2: Convert to fraction form
    251,354/547,872 = 547,872/x
  3. Step 3: Cross multiply
    251,354x = 547,872 × 547,872
  4. Step 4: Simplify right side
    251,354x = 300,163,728,384
  5. Step 5: Solve for x
    x = 300,163,728,384/251,354
  6. Step 6: Final answer
    x = 1,194,187.20

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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.