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Finding the Third Proportional to 252,664 and 547,375

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Solution

The third proportional to 252,664 and 547,375 is: 1,185,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,664 : 547,375 = 547,375 : x
  2. Step 2: Convert to fraction form
    252,664/547,375 = 547,375/x
  3. Step 3: Cross multiply
    252,664x = 547,375 × 547,375
  4. Step 4: Simplify right side
    252,664x = 299,619,390,625
  5. Step 5: Solve for x
    x = 299,619,390,625/252,664
  6. Step 6: Final answer
    x = 1,185,841.24

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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.