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Finding the Third Proportional to 328,753.69 and 706,669.31

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Solution

The third proportional to 328,753.69 and 706,669.31 is: 1,519,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,753.69 : 706,669.31 = 706,669.31 : x
  2. Step 2: Convert to fraction form
    328,753.69/706,669.31 = 706,669.31/x
  3. Step 3: Cross multiply
    328,753.69x = 706,669.31 × 706,669.31
  4. Step 4: Simplify right side
    328,753.69x = 499,381,517,229.22
  5. Step 5: Solve for x
    x = 499,381,517,229.22/328,753.69
  6. Step 6: Final answer
    x = 1,519,014.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.