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Finding the Third Proportional to 185,945 and 406,923

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Solution

The third proportional to 185,945 and 406,923 is: 890,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,945 : 406,923 = 406,923 : x
  2. Step 2: Convert to fraction form
    185,945/406,923 = 406,923/x
  3. Step 3: Cross multiply
    185,945x = 406,923 × 406,923
  4. Step 4: Simplify right side
    185,945x = 165,586,327,929
  5. Step 5: Solve for x
    x = 165,586,327,929/185,945
  6. Step 6: Final answer
    x = 890,512.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.