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Finding the Third Proportional to 281,731.50 and 611,232.75

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Solution

The third proportional to 281,731.50 and 611,232.75 is: 1,326,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,731.50 : 611,232.75 = 611,232.75 : x
  2. Step 2: Convert to fraction form
    281,731.50/611,232.75 = 611,232.75/x
  3. Step 3: Cross multiply
    281,731.50x = 611,232.75 × 611,232.75
  4. Step 4: Simplify right side
    281,731.50x = 373,605,474,672.56
  5. Step 5: Solve for x
    x = 373,605,474,672.56/281,731.50
  6. Step 6: Final answer
    x = 1,326,104.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.