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Finding the Third Proportional to 638,614.13 and 960,589.13

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Solution

The third proportional to 638,614.13 and 960,589.13 is: 1,444,896.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,614.13 : 960,589.13 = 960,589.13 : x
  2. Step 2: Convert to fraction form
    638,614.13/960,589.13 = 960,589.13/x
  3. Step 3: Cross multiply
    638,614.13x = 960,589.13 × 960,589.13
  4. Step 4: Simplify right side
    638,614.13x = 922,731,467,068.27
  5. Step 5: Solve for x
    x = 922,731,467,068.27/638,614.13
  6. Step 6: Final answer
    x = 1,444,896.74

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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.