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Finding the Third Proportional to 488,500.50 and 777,084.75

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Solution

The third proportional to 488,500.50 and 777,084.75 is: 1,236,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,500.50 : 777,084.75 = 777,084.75 : x
  2. Step 2: Convert to fraction form
    488,500.50/777,084.75 = 777,084.75/x
  3. Step 3: Cross multiply
    488,500.50x = 777,084.75 × 777,084.75
  4. Step 4: Simplify right side
    488,500.50x = 603,860,708,682.56
  5. Step 5: Solve for x
    x = 603,860,708,682.56/488,500.50
  6. Step 6: Final answer
    x = 1,236,151.67

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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.