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Finding the Third Proportional to 184,497 and 400,979

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Solution

The third proportional to 184,497 and 400,979 is: 871,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,497 : 400,979 = 400,979 : x
  2. Step 2: Convert to fraction form
    184,497/400,979 = 400,979/x
  3. Step 3: Cross multiply
    184,497x = 400,979 × 400,979
  4. Step 4: Simplify right side
    184,497x = 160,784,158,441
  5. Step 5: Solve for x
    x = 160,784,158,441/184,497
  6. Step 6: Final answer
    x = 871,473.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.