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Finding the Third Proportional to 284,832 and 429,074

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Solution

The third proportional to 284,832 and 429,074 is: 646,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,832 : 429,074 = 429,074 : x
  2. Step 2: Convert to fraction form
    284,832/429,074 = 429,074/x
  3. Step 3: Cross multiply
    284,832x = 429,074 × 429,074
  4. Step 4: Simplify right side
    284,832x = 184,104,497,476
  5. Step 5: Solve for x
    x = 184,104,497,476/284,832
  6. Step 6: Final answer
    x = 646,361.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.