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Finding the Third Proportional to 267,489 and 594,027

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Solution

The third proportional to 267,489 and 594,027 is: 1,319,187.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,489 : 594,027 = 594,027 : x
  2. Step 2: Convert to fraction form
    267,489/594,027 = 594,027/x
  3. Step 3: Cross multiply
    267,489x = 594,027 × 594,027
  4. Step 4: Simplify right side
    267,489x = 352,868,076,729
  5. Step 5: Solve for x
    x = 352,868,076,729/267,489
  6. Step 6: Final answer
    x = 1,319,187.24

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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.