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Finding the Third Proportional to 496,792.50 and 787,942.50

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Solution

The third proportional to 496,792.50 and 787,942.50 is: 1,249,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,792.50 : 787,942.50 = 787,942.50 : x
  2. Step 2: Convert to fraction form
    496,792.50/787,942.50 = 787,942.50/x
  3. Step 3: Cross multiply
    496,792.50x = 787,942.50 × 787,942.50
  4. Step 4: Simplify right side
    496,792.50x = 620,853,383,306.25
  5. Step 5: Solve for x
    x = 620,853,383,306.25/496,792.50
  6. Step 6: Final answer
    x = 1,249,723.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.