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Finding the Third Proportional to 260,671 and 571,164

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Solution

The third proportional to 260,671 and 571,164 is: 1,251,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,671 : 571,164 = 571,164 : x
  2. Step 2: Convert to fraction form
    260,671/571,164 = 571,164/x
  3. Step 3: Cross multiply
    260,671x = 571,164 × 571,164
  4. Step 4: Simplify right side
    260,671x = 326,228,314,896
  5. Step 5: Solve for x
    x = 326,228,314,896/260,671
  6. Step 6: Final answer
    x = 1,251,494.47

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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.