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Finding the Third Proportional to 202,474 and 429,863

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Solution

The third proportional to 202,474 and 429,863 is: 912,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,474 : 429,863 = 429,863 : x
  2. Step 2: Convert to fraction form
    202,474/429,863 = 429,863/x
  3. Step 3: Cross multiply
    202,474x = 429,863 × 429,863
  4. Step 4: Simplify right side
    202,474x = 184,782,198,769
  5. Step 5: Solve for x
    x = 184,782,198,769/202,474
  6. Step 6: Final answer
    x = 912,621.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.