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Finding the Third Proportional to 204,498 and 446,172

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Solution

The third proportional to 204,498 and 446,172 is: 973,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498 : 446,172 = 446,172 : x
  2. Step 2: Convert to fraction form
    204,498/446,172 = 446,172/x
  3. Step 3: Cross multiply
    204,498x = 446,172 × 446,172
  4. Step 4: Simplify right side
    204,498x = 199,069,453,584
  5. Step 5: Solve for x
    x = 199,069,453,584/204,498
  6. Step 6: Final answer
    x = 973,454.28

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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.