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Finding the Third Proportional to 260,341.50 and 541,419

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Solution

The third proportional to 260,341.50 and 541,419 is: 1,125,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,341.50 : 541,419 = 541,419 : x
  2. Step 2: Convert to fraction form
    260,341.50/541,419 = 541,419/x
  3. Step 3: Cross multiply
    260,341.50x = 541,419 × 541,419
  4. Step 4: Simplify right side
    260,341.50x = 293,134,533,561
  5. Step 5: Solve for x
    x = 293,134,533,561/260,341.50
  6. Step 6: Final answer
    x = 1,125,961.61

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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.