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Finding the Third Proportional to 185,946 and 406,452

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Solution

The third proportional to 185,946 and 406,452 is: 888,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946 : 406,452 = 406,452 : x
  2. Step 2: Convert to fraction form
    185,946/406,452 = 406,452/x
  3. Step 3: Cross multiply
    185,946x = 406,452 × 406,452
  4. Step 4: Simplify right side
    185,946x = 165,203,228,304
  5. Step 5: Solve for x
    x = 165,203,228,304/185,946
  6. Step 6: Final answer
    x = 888,447.34

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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.