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Finding the Third Proportional to 429,100 and 600,193

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Solution

The third proportional to 429,100 and 600,193 is: 839,505.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,100 : 600,193 = 600,193 : x
  2. Step 2: Convert to fraction form
    429,100/600,193 = 600,193/x
  3. Step 3: Cross multiply
    429,100x = 600,193 × 600,193
  4. Step 4: Simplify right side
    429,100x = 360,231,637,249
  5. Step 5: Solve for x
    x = 360,231,637,249/429,100
  6. Step 6: Final answer
    x = 839,505.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.