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Finding the Third Proportional to 343,586.25 and 739,851.75

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Solution

The third proportional to 343,586.25 and 739,851.75 is: 1,593,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,586.25 : 739,851.75 = 739,851.75 : x
  2. Step 2: Convert to fraction form
    343,586.25/739,851.75 = 739,851.75/x
  3. Step 3: Cross multiply
    343,586.25x = 739,851.75 × 739,851.75
  4. Step 4: Simplify right side
    343,586.25x = 547,380,611,978.06
  5. Step 5: Solve for x
    x = 547,380,611,978.06/343,586.25
  6. Step 6: Final answer
    x = 1,593,138.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.