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Finding the Third Proportional to 260,442 and 534,708

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Solution

The third proportional to 260,442 and 534,708 is: 1,097,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,442 : 534,708 = 534,708 : x
  2. Step 2: Convert to fraction form
    260,442/534,708 = 534,708/x
  3. Step 3: Cross multiply
    260,442x = 534,708 × 534,708
  4. Step 4: Simplify right side
    260,442x = 285,912,645,264
  5. Step 5: Solve for x
    x = 285,912,645,264/260,442
  6. Step 6: Final answer
    x = 1,097,797.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.