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Finding the Third Proportional to 260,073 and 558,945

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Solution

The third proportional to 260,073 and 558,945 is: 1,201,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,073 : 558,945 = 558,945 : x
  2. Step 2: Convert to fraction form
    260,073/558,945 = 558,945/x
  3. Step 3: Cross multiply
    260,073x = 558,945 × 558,945
  4. Step 4: Simplify right side
    260,073x = 312,419,513,025
  5. Step 5: Solve for x
    x = 312,419,513,025/260,073
  6. Step 6: Final answer
    x = 1,201,276.23

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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.