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Finding the Third Proportional to 254,359 and 534,314

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Solution

The third proportional to 254,359 and 534,314 is: 1,122,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,359 : 534,314 = 534,314 : x
  2. Step 2: Convert to fraction form
    254,359/534,314 = 534,314/x
  3. Step 3: Cross multiply
    254,359x = 534,314 × 534,314
  4. Step 4: Simplify right side
    254,359x = 285,491,450,596
  5. Step 5: Solve for x
    x = 285,491,450,596/254,359
  6. Step 6: Final answer
    x = 1,122,395.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.