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Finding the Third Proportional to 269,071 and 570,939

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Solution

The third proportional to 269,071 and 570,939 is: 1,211,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,071 : 570,939 = 570,939 : x
  2. Step 2: Convert to fraction form
    269,071/570,939 = 570,939/x
  3. Step 3: Cross multiply
    269,071x = 570,939 × 570,939
  4. Step 4: Simplify right side
    269,071x = 325,971,341,721
  5. Step 5: Solve for x
    x = 325,971,341,721/269,071
  6. Step 6: Final answer
    x = 1,211,469.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.