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Finding the Third Proportional to 328,672.69 and 513,769.08

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Solution

The third proportional to 328,672.69 and 513,769.08 is: 803,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,672.69 : 513,769.08 = 513,769.08 : x
  2. Step 2: Convert to fraction form
    328,672.69/513,769.08 = 513,769.08/x
  3. Step 3: Cross multiply
    328,672.69x = 513,769.08 × 513,769.08
  4. Step 4: Simplify right side
    328,672.69x = 263,958,665,637.41
  5. Step 5: Solve for x
    x = 263,958,665,637.41/328,672.69
  6. Step 6: Final answer
    x = 803,104.96

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.