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Finding the Third Proportional to 252,474 and 544,314

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Solution

The third proportional to 252,474 and 544,314 is: 1,173,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,474 : 544,314 = 544,314 : x
  2. Step 2: Convert to fraction form
    252,474/544,314 = 544,314/x
  3. Step 3: Cross multiply
    252,474x = 544,314 × 544,314
  4. Step 4: Simplify right side
    252,474x = 296,277,730,596
  5. Step 5: Solve for x
    x = 296,277,730,596/252,474
  6. Step 6: Final answer
    x = 1,173,497.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.