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Finding the Third Proportional to 251,732 and 547,288

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Solution

The third proportional to 251,732 and 547,288 is: 1,189,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,732 : 547,288 = 547,288 : x
  2. Step 2: Convert to fraction form
    251,732/547,288 = 547,288/x
  3. Step 3: Cross multiply
    251,732x = 547,288 × 547,288
  4. Step 4: Simplify right side
    251,732x = 299,524,154,944
  5. Step 5: Solve for x
    x = 299,524,154,944/251,732
  6. Step 6: Final answer
    x = 1,189,853.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.