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Finding the Third Proportional to 251,744 and 547,312

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Solution

The third proportional to 251,744 and 547,312 is: 1,189,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,744 : 547,312 = 547,312 : x
  2. Step 2: Convert to fraction form
    251,744/547,312 = 547,312/x
  3. Step 3: Cross multiply
    251,744x = 547,312 × 547,312
  4. Step 4: Simplify right side
    251,744x = 299,550,425,344
  5. Step 5: Solve for x
    x = 299,550,425,344/251,744
  6. Step 6: Final answer
    x = 1,189,900.95

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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.