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Finding the Third Proportional to 251,581.50 and 547,452

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Solution

The third proportional to 251,581.50 and 547,452 is: 1,191,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,581.50 : 547,452 = 547,452 : x
  2. Step 2: Convert to fraction form
    251,581.50/547,452 = 547,452/x
  3. Step 3: Cross multiply
    251,581.50x = 547,452 × 547,452
  4. Step 4: Simplify right side
    251,581.50x = 299,703,692,304
  5. Step 5: Solve for x
    x = 299,703,692,304/251,581.50
  6. Step 6: Final answer
    x = 1,191,278.74

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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.