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Finding the Third Proportional to 254,907 and 560,142

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Solution

The third proportional to 254,907 and 560,142 is: 1,230,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,907 : 560,142 = 560,142 : x
  2. Step 2: Convert to fraction form
    254,907/560,142 = 560,142/x
  3. Step 3: Cross multiply
    254,907x = 560,142 × 560,142
  4. Step 4: Simplify right side
    254,907x = 313,759,060,164
  5. Step 5: Solve for x
    x = 313,759,060,164/254,907
  6. Step 6: Final answer
    x = 1,230,876.59

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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.