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Finding the Third Proportional to 496,755 and 787,884.75

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Solution

The third proportional to 496,755 and 787,884.75 is: 1,249,634.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,755 : 787,884.75 = 787,884.75 : x
  2. Step 2: Convert to fraction form
    496,755/787,884.75 = 787,884.75/x
  3. Step 3: Cross multiply
    496,755x = 787,884.75 × 787,884.75
  4. Step 4: Simplify right side
    496,755x = 620,762,379,282.56
  5. Step 5: Solve for x
    x = 620,762,379,282.56/496,755
  6. Step 6: Final answer
    x = 1,249,634.89

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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.