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Finding the Third Proportional to 284,754 and 412,443

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Solution

The third proportional to 284,754 and 412,443 is: 597,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,754 : 412,443 = 412,443 : x
  2. Step 2: Convert to fraction form
    284,754/412,443 = 412,443/x
  3. Step 3: Cross multiply
    284,754x = 412,443 × 412,443
  4. Step 4: Simplify right side
    284,754x = 170,109,228,249
  5. Step 5: Solve for x
    x = 170,109,228,249/284,754
  6. Step 6: Final answer
    x = 597,390.13

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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.