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Finding the Third Proportional to 267,376 and 570,833

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Solution

The third proportional to 267,376 and 570,833 is: 1,218,696.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,376 : 570,833 = 570,833 : x
  2. Step 2: Convert to fraction form
    267,376/570,833 = 570,833/x
  3. Step 3: Cross multiply
    267,376x = 570,833 × 570,833
  4. Step 4: Simplify right side
    267,376x = 325,850,313,889
  5. Step 5: Solve for x
    x = 325,850,313,889/267,376
  6. Step 6: Final answer
    x = 1,218,696.94

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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.