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Finding the Third Proportional to 326,602.13 and 513,231.19

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Solution

The third proportional to 326,602.13 and 513,231.19 is: 806,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,602.13 : 513,231.19 = 513,231.19 : x
  2. Step 2: Convert to fraction form
    326,602.13/513,231.19 = 513,231.19/x
  3. Step 3: Cross multiply
    326,602.13x = 513,231.19 × 513,231.19
  4. Step 4: Simplify right side
    326,602.13x = 263,406,251,822.66
  5. Step 5: Solve for x
    x = 263,406,251,822.66/326,602.13
  6. Step 6: Final answer
    x = 806,505.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.