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Finding the Third Proportional to 284,644 and 412,278

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Solution

The third proportional to 284,644 and 412,278 is: 597,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,644 : 412,278 = 412,278 : x
  2. Step 2: Convert to fraction form
    284,644/412,278 = 412,278/x
  3. Step 3: Cross multiply
    284,644x = 412,278 × 412,278
  4. Step 4: Simplify right side
    284,644x = 169,973,149,284
  5. Step 5: Solve for x
    x = 169,973,149,284/284,644
  6. Step 6: Final answer
    x = 597,142.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.