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Finding the Third Proportional to 429,139.50 and 649,233.50

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Solution

The third proportional to 429,139.50 and 649,233.50 is: 982,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,139.50 : 649,233.50 = 649,233.50 : x
  2. Step 2: Convert to fraction form
    429,139.50/649,233.50 = 649,233.50/x
  3. Step 3: Cross multiply
    429,139.50x = 649,233.50 × 649,233.50
  4. Step 4: Simplify right side
    429,139.50x = 421,504,137,522.25
  5. Step 5: Solve for x
    x = 421,504,137,522.25/429,139.50
  6. Step 6: Final answer
    x = 982,207.74

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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.