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Finding the Third Proportional to 488,175.75 and 755,814.38

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Solution

The third proportional to 488,175.75 and 755,814.38 is: 1,170,183.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,175.75 : 755,814.38 = 755,814.38 : x
  2. Step 2: Convert to fraction form
    488,175.75/755,814.38 = 755,814.38/x
  3. Step 3: Cross multiply
    488,175.75x = 755,814.38 × 755,814.38
  4. Step 4: Simplify right side
    488,175.75x = 571,255,369,456.64
  5. Step 5: Solve for x
    x = 571,255,369,456.64/488,175.75
  6. Step 6: Final answer
    x = 1,170,183.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.