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Finding the Third Proportional to 260,081 and 558,961

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Solution

The third proportional to 260,081 and 558,961 is: 1,201,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,081 : 558,961 = 558,961 : x
  2. Step 2: Convert to fraction form
    260,081/558,961 = 558,961/x
  3. Step 3: Cross multiply
    260,081x = 558,961 × 558,961
  4. Step 4: Simplify right side
    260,081x = 312,437,399,521
  5. Step 5: Solve for x
    x = 312,437,399,521/260,081
  6. Step 6: Final answer
    x = 1,201,308.05

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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.