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Finding the Third Proportional to 248,761 and 394,534

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Solution

The third proportional to 248,761 and 394,534 is: 625,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,761 : 394,534 = 394,534 : x
  2. Step 2: Convert to fraction form
    248,761/394,534 = 394,534/x
  3. Step 3: Cross multiply
    248,761x = 394,534 × 394,534
  4. Step 4: Simplify right side
    248,761x = 155,657,077,156
  5. Step 5: Solve for x
    x = 155,657,077,156/248,761
  6. Step 6: Final answer
    x = 625,729.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.