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Finding the Third Proportional to 407,350.78 and 616,269.09

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Solution

The third proportional to 407,350.78 and 616,269.09 is: 932,335.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,350.78 : 616,269.09 = 616,269.09 : x
  2. Step 2: Convert to fraction form
    407,350.78/616,269.09 = 616,269.09/x
  3. Step 3: Cross multiply
    407,350.78x = 616,269.09 × 616,269.09
  4. Step 4: Simplify right side
    407,350.78x = 379,787,595,911.45
  5. Step 5: Solve for x
    x = 379,787,595,911.45/407,350.78
  6. Step 6: Final answer
    x = 932,335.50

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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.