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Finding the Third Proportional to 284,622 and 446,471

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Solution

The third proportional to 284,622 and 446,471 is: 700,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,622 : 446,471 = 446,471 : x
  2. Step 2: Convert to fraction form
    284,622/446,471 = 446,471/x
  3. Step 3: Cross multiply
    284,622x = 446,471 × 446,471
  4. Step 4: Simplify right side
    284,622x = 199,336,353,841
  5. Step 5: Solve for x
    x = 199,336,353,841/284,622
  6. Step 6: Final answer
    x = 700,354.69

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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.