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Finding the Third Proportional to 429,139.27 and 649,232.72

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Solution

The third proportional to 429,139.27 and 649,232.72 is: 982,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,139.27 : 649,232.72 = 649,232.72 : x
  2. Step 2: Convert to fraction form
    429,139.27/649,232.72 = 649,232.72/x
  3. Step 3: Cross multiply
    429,139.27x = 649,232.72 × 649,232.72
  4. Step 4: Simplify right side
    429,139.27x = 421,503,123,095.52
  5. Step 5: Solve for x
    x = 421,503,123,095.52/429,139.27
  6. Step 6: Final answer
    x = 982,205.91

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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.