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Finding the Third Proportional to 327,730.50 and 442,788.75

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Solution

The third proportional to 327,730.50 and 442,788.75 is: 598,241.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,730.50 : 442,788.75 = 442,788.75 : x
  2. Step 2: Convert to fraction form
    327,730.50/442,788.75 = 442,788.75/x
  3. Step 3: Cross multiply
    327,730.50x = 442,788.75 × 442,788.75
  4. Step 4: Simplify right side
    327,730.50x = 196,061,877,126.56
  5. Step 5: Solve for x
    x = 196,061,877,126.56/327,730.50
  6. Step 6: Final answer
    x = 598,241.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.