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Finding the Third Proportional to 488,500.88 and 775,375.88

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Solution

The third proportional to 488,500.88 and 775,375.88 is: 1,230,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,500.88 : 775,375.88 = 775,375.88 : x
  2. Step 2: Convert to fraction form
    488,500.88/775,375.88 = 775,375.88/x
  3. Step 3: Cross multiply
    488,500.88x = 775,375.88 × 775,375.88
  4. Step 4: Simplify right side
    488,500.88x = 601,207,747,532.02
  5. Step 5: Solve for x
    x = 601,207,747,532.02/488,500.88
  6. Step 6: Final answer
    x = 1,230,719.90

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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.