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Finding the Third Proportional to 260,351 and 541,435

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Solution

The third proportional to 260,351 and 541,435 is: 1,125,987.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,351 : 541,435 = 541,435 : x
  2. Step 2: Convert to fraction form
    260,351/541,435 = 541,435/x
  3. Step 3: Cross multiply
    260,351x = 541,435 × 541,435
  4. Step 4: Simplify right side
    260,351x = 293,151,859,225
  5. Step 5: Solve for x
    x = 293,151,859,225/260,351
  6. Step 6: Final answer
    x = 1,125,987.07

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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.