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Finding the Third Proportional to 251,734 and 547,292

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Solution

The third proportional to 251,734 and 547,292 is: 1,189,861.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,734 : 547,292 = 547,292 : x
  2. Step 2: Convert to fraction form
    251,734/547,292 = 547,292/x
  3. Step 3: Cross multiply
    251,734x = 547,292 × 547,292
  4. Step 4: Simplify right side
    251,734x = 299,528,533,264
  5. Step 5: Solve for x
    x = 299,528,533,264/251,734
  6. Step 6: Final answer
    x = 1,189,861.26

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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.