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Finding the Third Proportional to 192,596 and 429,448

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Solution

The third proportional to 192,596 and 429,448 is: 957,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,596 : 429,448 = 429,448 : x
  2. Step 2: Convert to fraction form
    192,596/429,448 = 429,448/x
  3. Step 3: Cross multiply
    192,596x = 429,448 × 429,448
  4. Step 4: Simplify right side
    192,596x = 184,425,584,704
  5. Step 5: Solve for x
    x = 184,425,584,704/192,596
  6. Step 6: Final answer
    x = 957,577.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.