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Finding the Third Proportional to 267,366 and 594,502

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Solution

The third proportional to 267,366 and 594,502 is: 1,321,905.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,366 : 594,502 = 594,502 : x
  2. Step 2: Convert to fraction form
    267,366/594,502 = 594,502/x
  3. Step 3: Cross multiply
    267,366x = 594,502 × 594,502
  4. Step 4: Simplify right side
    267,366x = 353,432,628,004
  5. Step 5: Solve for x
    x = 353,432,628,004/267,366
  6. Step 6: Final answer
    x = 1,321,905.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.