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Finding the Third Proportional to 328,576.50 and 497,249

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Solution

The third proportional to 328,576.50 and 497,249 is: 752,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,576.50 : 497,249 = 497,249 : x
  2. Step 2: Convert to fraction form
    328,576.50/497,249 = 497,249/x
  3. Step 3: Cross multiply
    328,576.50x = 497,249 × 497,249
  4. Step 4: Simplify right side
    328,576.50x = 247,256,568,001
  5. Step 5: Solve for x
    x = 247,256,568,001/328,576.50
  6. Step 6: Final answer
    x = 752,508.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.