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Finding the Third Proportional to 353,998.50 and 767,025

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Solution

The third proportional to 353,998.50 and 767,025 is: 1,661,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,998.50 : 767,025 = 767,025 : x
  2. Step 2: Convert to fraction form
    353,998.50/767,025 = 767,025/x
  3. Step 3: Cross multiply
    353,998.50x = 767,025 × 767,025
  4. Step 4: Simplify right side
    353,998.50x = 588,327,350,625
  5. Step 5: Solve for x
    x = 588,327,350,625/353,998.50
  6. Step 6: Final answer
    x = 1,661,948.71

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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.