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Finding the Third Proportional to 266,014.13 and 398,049.19

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Solution

The third proportional to 266,014.13 and 398,049.19 is: 595,619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,014.13 : 398,049.19 = 398,049.19 : x
  2. Step 2: Convert to fraction form
    266,014.13/398,049.19 = 398,049.19/x
  3. Step 3: Cross multiply
    266,014.13x = 398,049.19 × 398,049.19
  4. Step 4: Simplify right side
    266,014.13x = 158,443,155,669.41
  5. Step 5: Solve for x
    x = 158,443,155,669.41/266,014.13
  6. Step 6: Final answer
    x = 595,619.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.