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Finding the Third Proportional to 260,061 and 540,741

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Solution

The third proportional to 260,061 and 540,741 is: 1,124,354.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,061 : 540,741 = 540,741 : x
  2. Step 2: Convert to fraction form
    260,061/540,741 = 540,741/x
  3. Step 3: Cross multiply
    260,061x = 540,741 × 540,741
  4. Step 4: Simplify right side
    260,061x = 292,400,829,081
  5. Step 5: Solve for x
    x = 292,400,829,081/260,061
  6. Step 6: Final answer
    x = 1,124,354.78

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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.