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Finding the Third Proportional to 185,338 and 406,762

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Solution

The third proportional to 185,338 and 406,762 is: 892,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,338 : 406,762 = 406,762 : x
  2. Step 2: Convert to fraction form
    185,338/406,762 = 406,762/x
  3. Step 3: Cross multiply
    185,338x = 406,762 × 406,762
  4. Step 4: Simplify right side
    185,338x = 165,455,324,644
  5. Step 5: Solve for x
    x = 165,455,324,644/185,338
  6. Step 6: Final answer
    x = 892,722.08

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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.