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Finding the Third Proportional to 260,092 and 558,980

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Solution

The third proportional to 260,092 and 558,980 is: 1,201,338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,092 : 558,980 = 558,980 : x
  2. Step 2: Convert to fraction form
    260,092/558,980 = 558,980/x
  3. Step 3: Cross multiply
    260,092x = 558,980 × 558,980
  4. Step 4: Simplify right side
    260,092x = 312,458,640,400
  5. Step 5: Solve for x
    x = 312,458,640,400/260,092
  6. Step 6: Final answer
    x = 1,201,338.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.