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Finding the Third Proportional to 185,938 and 406,908

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Solution

The third proportional to 185,938 and 406,908 is: 890,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,938 : 406,908 = 406,908 : x
  2. Step 2: Convert to fraction form
    185,938/406,908 = 406,908/x
  3. Step 3: Cross multiply
    185,938x = 406,908 × 406,908
  4. Step 4: Simplify right side
    185,938x = 165,574,120,464
  5. Step 5: Solve for x
    x = 165,574,120,464/185,938
  6. Step 6: Final answer
    x = 890,480.27

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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.