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Finding the Third Proportional to 260,920 and 571,848

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Solution

The third proportional to 260,920 and 571,848 is: 1,253,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,920 : 571,848 = 571,848 : x
  2. Step 2: Convert to fraction form
    260,920/571,848 = 571,848/x
  3. Step 3: Cross multiply
    260,920x = 571,848 × 571,848
  4. Step 4: Simplify right side
    260,920x = 327,010,135,104
  5. Step 5: Solve for x
    x = 327,010,135,104/260,920
  6. Step 6: Final answer
    x = 1,253,296.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.