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Finding the Third Proportional to 244,219.50 and 520,697

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Solution

The third proportional to 244,219.50 and 520,697 is: 1,110,170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,219.50 : 520,697 = 520,697 : x
  2. Step 2: Convert to fraction form
    244,219.50/520,697 = 520,697/x
  3. Step 3: Cross multiply
    244,219.50x = 520,697 × 520,697
  4. Step 4: Simplify right side
    244,219.50x = 271,125,365,809
  5. Step 5: Solve for x
    x = 271,125,365,809/244,219.50
  6. Step 6: Final answer
    x = 1,110,170.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.