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Finding the Third Proportional to 465,729.75 and 949,092.19

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Solution

The third proportional to 465,729.75 and 949,092.19 is: 1,934,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,729.75 : 949,092.19 = 949,092.19 : x
  2. Step 2: Convert to fraction form
    465,729.75/949,092.19 = 949,092.19/x
  3. Step 3: Cross multiply
    465,729.75x = 949,092.19 × 949,092.19
  4. Step 4: Simplify right side
    465,729.75x = 900,775,980,373.54
  5. Step 5: Solve for x
    x = 900,775,980,373.54/465,729.75
  6. Step 6: Final answer
    x = 1,934,117.33

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.