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Finding the Third Proportional to 284,974 and 444,713

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Solution

The third proportional to 284,974 and 444,713 is: 693,991.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,974 : 444,713 = 444,713 : x
  2. Step 2: Convert to fraction form
    284,974/444,713 = 444,713/x
  3. Step 3: Cross multiply
    284,974x = 444,713 × 444,713
  4. Step 4: Simplify right side
    284,974x = 197,769,652,369
  5. Step 5: Solve for x
    x = 197,769,652,369/284,974
  6. Step 6: Final answer
    x = 693,991.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.