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Finding the Third Proportional to 239,493 and 359,274

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Solution

The third proportional to 239,493 and 359,274 is: 538,962.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,493 : 359,274 = 359,274 : x
  2. Step 2: Convert to fraction form
    239,493/359,274 = 359,274/x
  3. Step 3: Cross multiply
    239,493x = 359,274 × 359,274
  4. Step 4: Simplify right side
    239,493x = 129,077,807,076
  5. Step 5: Solve for x
    x = 129,077,807,076/239,493
  6. Step 6: Final answer
    x = 538,962.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.