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Finding the Third Proportional to 340,233.75 and 502,591.50

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Solution

The third proportional to 340,233.75 and 502,591.50 is: 742,425.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,233.75 : 502,591.50 = 502,591.50 : x
  2. Step 2: Convert to fraction form
    340,233.75/502,591.50 = 502,591.50/x
  3. Step 3: Cross multiply
    340,233.75x = 502,591.50 × 502,591.50
  4. Step 4: Simplify right side
    340,233.75x = 252,598,215,872.25
  5. Step 5: Solve for x
    x = 252,598,215,872.25/340,233.75
  6. Step 6: Final answer
    x = 742,425.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.