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Finding the Third Proportional to 254,961 and 560,250

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Solution

The third proportional to 254,961 and 560,250 is: 1,231,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,961 : 560,250 = 560,250 : x
  2. Step 2: Convert to fraction form
    254,961/560,250 = 560,250/x
  3. Step 3: Cross multiply
    254,961x = 560,250 × 560,250
  4. Step 4: Simplify right side
    254,961x = 313,880,062,500
  5. Step 5: Solve for x
    x = 313,880,062,500/254,961
  6. Step 6: Final answer
    x = 1,231,090.49

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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.