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Finding the Third Proportional to 260,691 and 571,212

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Solution

The third proportional to 260,691 and 571,212 is: 1,251,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,691 : 571,212 = 571,212 : x
  2. Step 2: Convert to fraction form
    260,691/571,212 = 571,212/x
  3. Step 3: Cross multiply
    260,691x = 571,212 × 571,212
  4. Step 4: Simplify right side
    260,691x = 326,283,148,944
  5. Step 5: Solve for x
    x = 326,283,148,944/260,691
  6. Step 6: Final answer
    x = 1,251,608.80

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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.