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Finding the Third Proportional to 260,098 and 558,994

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Solution

The third proportional to 260,098 and 558,994 is: 1,201,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,098 : 558,994 = 558,994 : x
  2. Step 2: Convert to fraction form
    260,098/558,994 = 558,994/x
  3. Step 3: Cross multiply
    260,098x = 558,994 × 558,994
  4. Step 4: Simplify right side
    260,098x = 312,474,292,036
  5. Step 5: Solve for x
    x = 312,474,292,036/260,098
  6. Step 6: Final answer
    x = 1,201,371.38

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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.