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Finding the Third Proportional to 254,911 and 560,150

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Solution

The third proportional to 254,911 and 560,150 is: 1,230,892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,911 : 560,150 = 560,150 : x
  2. Step 2: Convert to fraction form
    254,911/560,150 = 560,150/x
  3. Step 3: Cross multiply
    254,911x = 560,150 × 560,150
  4. Step 4: Simplify right side
    254,911x = 313,768,022,500
  5. Step 5: Solve for x
    x = 313,768,022,500/254,911
  6. Step 6: Final answer
    x = 1,230,892.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.