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Finding the Third Proportional to 581,046.75 and 816,792.75

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Solution

The third proportional to 581,046.75 and 816,792.75 is: 1,148,187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,046.75 : 816,792.75 = 816,792.75 : x
  2. Step 2: Convert to fraction form
    581,046.75/816,792.75 = 816,792.75/x
  3. Step 3: Cross multiply
    581,046.75x = 816,792.75 × 816,792.75
  4. Step 4: Simplify right side
    581,046.75x = 667,150,396,452.56
  5. Step 5: Solve for x
    x = 667,150,396,452.56/581,046.75
  6. Step 6: Final answer
    x = 1,148,187.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.