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Finding the Third Proportional to 443,176.88 and 972,517.50

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Solution

The third proportional to 443,176.88 and 972,517.50 is: 2,134,114.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,176.88 : 972,517.50 = 972,517.50 : x
  2. Step 2: Convert to fraction form
    443,176.88/972,517.50 = 972,517.50/x
  3. Step 3: Cross multiply
    443,176.88x = 972,517.50 × 972,517.50
  4. Step 4: Simplify right side
    443,176.88x = 945,790,287,806.25
  5. Step 5: Solve for x
    x = 945,790,287,806.25/443,176.88
  6. Step 6: Final answer
    x = 2,134,114.71

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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.