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Finding the Third Proportional to 267,642 and 594,324

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Solution

The third proportional to 267,642 and 594,324 is: 1,319,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,642 : 594,324 = 594,324 : x
  2. Step 2: Convert to fraction form
    267,642/594,324 = 594,324/x
  3. Step 3: Cross multiply
    267,642x = 594,324 × 594,324
  4. Step 4: Simplify right side
    267,642x = 353,221,016,976
  5. Step 5: Solve for x
    x = 353,221,016,976/267,642
  6. Step 6: Final answer
    x = 1,319,751.82

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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.