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Finding the Third Proportional to 264,867 and 572,171

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Solution

The third proportional to 264,867 and 572,171 is: 1,236,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,867 : 572,171 = 572,171 : x
  2. Step 2: Convert to fraction form
    264,867/572,171 = 572,171/x
  3. Step 3: Cross multiply
    264,867x = 572,171 × 572,171
  4. Step 4: Simplify right side
    264,867x = 327,379,653,241
  5. Step 5: Solve for x
    x = 327,379,653,241/264,867
  6. Step 6: Final answer
    x = 1,236,015.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.