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Finding the Third Proportional to 267,376 and 570,834

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Solution

The third proportional to 267,376 and 570,834 is: 1,218,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,376 : 570,834 = 570,834 : x
  2. Step 2: Convert to fraction form
    267,376/570,834 = 570,834/x
  3. Step 3: Cross multiply
    267,376x = 570,834 × 570,834
  4. Step 4: Simplify right side
    267,376x = 325,851,455,556
  5. Step 5: Solve for x
    x = 325,851,455,556/267,376
  6. Step 6: Final answer
    x = 1,218,701.21

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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.