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Finding the Third Proportional to 352,536.75 and 527,478.75

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Solution

The third proportional to 352,536.75 and 527,478.75 is: 789,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,536.75 : 527,478.75 = 527,478.75 : x
  2. Step 2: Convert to fraction form
    352,536.75/527,478.75 = 527,478.75/x
  3. Step 3: Cross multiply
    352,536.75x = 527,478.75 × 527,478.75
  4. Step 4: Simplify right side
    352,536.75x = 278,233,831,701.56
  5. Step 5: Solve for x
    x = 278,233,831,701.56/352,536.75
  6. Step 6: Final answer
    x = 789,233.55

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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.