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Finding the Third Proportional to 204,600 and 446,370

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Solution

The third proportional to 204,600 and 446,370 is: 973,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,600 : 446,370 = 446,370 : x
  2. Step 2: Convert to fraction form
    204,600/446,370 = 446,370/x
  3. Step 3: Cross multiply
    204,600x = 446,370 × 446,370
  4. Step 4: Simplify right side
    204,600x = 199,246,176,900
  5. Step 5: Solve for x
    x = 199,246,176,900/204,600
  6. Step 6: Final answer
    x = 973,832.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.