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Finding the Third Proportional to 260,377 and 541,485

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Solution

The third proportional to 260,377 and 541,485 is: 1,126,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,377 : 541,485 = 541,485 : x
  2. Step 2: Convert to fraction form
    260,377/541,485 = 541,485/x
  3. Step 3: Cross multiply
    260,377x = 541,485 × 541,485
  4. Step 4: Simplify right side
    260,377x = 293,206,005,225
  5. Step 5: Solve for x
    x = 293,206,005,225/260,377
  6. Step 6: Final answer
    x = 1,126,082.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.