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Finding the Third Proportional to 196,419.94 and 428,822.86

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Solution

The third proportional to 196,419.94 and 428,822.86 is: 936,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,419.94 : 428,822.86 = 428,822.86 : x
  2. Step 2: Convert to fraction form
    196,419.94/428,822.86 = 428,822.86/x
  3. Step 3: Cross multiply
    196,419.94x = 428,822.86 × 428,822.86
  4. Step 4: Simplify right side
    196,419.94x = 183,889,044,722.55
  5. Step 5: Solve for x
    x = 183,889,044,722.55/196,419.94
  6. Step 6: Final answer
    x = 936,203.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.