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Finding the Third Proportional to 366,917 and 561,318.50

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Solution

The third proportional to 366,917 and 561,318.50 is: 858,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,917 : 561,318.50 = 561,318.50 : x
  2. Step 2: Convert to fraction form
    366,917/561,318.50 = 561,318.50/x
  3. Step 3: Cross multiply
    366,917x = 561,318.50 × 561,318.50
  4. Step 4: Simplify right side
    366,917x = 315,078,458,442.25
  5. Step 5: Solve for x
    x = 315,078,458,442.25/366,917
  6. Step 6: Final answer
    x = 858,718.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.