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Finding the Third Proportional to 267,378 and 570,837

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Solution

The third proportional to 267,378 and 570,837 is: 1,218,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,378 : 570,837 = 570,837 : x
  2. Step 2: Convert to fraction form
    267,378/570,837 = 570,837/x
  3. Step 3: Cross multiply
    267,378x = 570,837 × 570,837
  4. Step 4: Simplify right side
    267,378x = 325,854,880,569
  5. Step 5: Solve for x
    x = 325,854,880,569/267,378
  6. Step 6: Final answer
    x = 1,218,704.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.