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Finding the Third Proportional to 199,392 and 428,016

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Solution

The third proportional to 199,392 and 428,016 is: 918,781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,392 : 428,016 = 428,016 : x
  2. Step 2: Convert to fraction form
    199,392/428,016 = 428,016/x
  3. Step 3: Cross multiply
    199,392x = 428,016 × 428,016
  4. Step 4: Simplify right side
    199,392x = 183,197,696,256
  5. Step 5: Solve for x
    x = 183,197,696,256/199,392
  6. Step 6: Final answer
    x = 918,781.58

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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.