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Finding the Third Proportional to 260,568 and 571,014

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Solution

The third proportional to 260,568 and 571,014 is: 1,251,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,568 : 571,014 = 571,014 : x
  2. Step 2: Convert to fraction form
    260,568/571,014 = 571,014/x
  3. Step 3: Cross multiply
    260,568x = 571,014 × 571,014
  4. Step 4: Simplify right side
    260,568x = 326,056,988,196
  5. Step 5: Solve for x
    x = 326,056,988,196/260,568
  6. Step 6: Final answer
    x = 1,251,331.66

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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.