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Finding the Third Proportional to 184,979 and 398,032

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Solution

The third proportional to 184,979 and 398,032 is: 856,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,979 : 398,032 = 398,032 : x
  2. Step 2: Convert to fraction form
    184,979/398,032 = 398,032/x
  3. Step 3: Cross multiply
    184,979x = 398,032 × 398,032
  4. Step 4: Simplify right side
    184,979x = 158,429,473,024
  5. Step 5: Solve for x
    x = 158,429,473,024/184,979
  6. Step 6: Final answer
    x = 856,472.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.