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Finding the Third Proportional to 284,840 and 446,812

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Solution

The third proportional to 284,840 and 446,812 is: 700,888.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,840 : 446,812 = 446,812 : x
  2. Step 2: Convert to fraction form
    284,840/446,812 = 446,812/x
  3. Step 3: Cross multiply
    284,840x = 446,812 × 446,812
  4. Step 4: Simplify right side
    284,840x = 199,640,963,344
  5. Step 5: Solve for x
    x = 199,640,963,344/284,840
  6. Step 6: Final answer
    x = 700,888.09

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.