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Finding the Third Proportional to 438,149.25 and 957,399.75

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Solution

The third proportional to 438,149.25 and 957,399.75 is: 2,092,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,149.25 : 957,399.75 = 957,399.75 : x
  2. Step 2: Convert to fraction form
    438,149.25/957,399.75 = 957,399.75/x
  3. Step 3: Cross multiply
    438,149.25x = 957,399.75 × 957,399.75
  4. Step 4: Simplify right side
    438,149.25x = 916,614,281,300.06
  5. Step 5: Solve for x
    x = 916,614,281,300.06/438,149.25
  6. Step 6: Final answer
    x = 2,092,013.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.