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Finding the Third Proportional to 311,239.13 and 478,617.19

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Solution

The third proportional to 311,239.13 and 478,617.19 is: 736,007.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,239.13 : 478,617.19 = 478,617.19 : x
  2. Step 2: Convert to fraction form
    311,239.13/478,617.19 = 478,617.19/x
  3. Step 3: Cross multiply
    311,239.13x = 478,617.19 × 478,617.19
  4. Step 4: Simplify right side
    311,239.13x = 229,074,412,170.41
  5. Step 5: Solve for x
    x = 229,074,412,170.41/311,239.13
  6. Step 6: Final answer
    x = 736,007.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.