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Finding the Third Proportional to 429,139.69 and 649,233.56

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Solution

The third proportional to 429,139.69 and 649,233.56 is: 982,207.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,139.69 : 649,233.56 = 649,233.56 : x
  2. Step 2: Convert to fraction form
    429,139.69/649,233.56 = 649,233.56/x
  3. Step 3: Cross multiply
    429,139.69x = 649,233.56 × 649,233.56
  4. Step 4: Simplify right side
    429,139.69x = 421,504,218,676.44
  5. Step 5: Solve for x
    x = 421,504,218,676.44/429,139.69
  6. Step 6: Final answer
    x = 982,207.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.