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Finding the Third Proportional to 204,604 and 446,378

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Solution

The third proportional to 204,604 and 446,378 is: 973,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,604 : 446,378 = 446,378 : x
  2. Step 2: Convert to fraction form
    204,604/446,378 = 446,378/x
  3. Step 3: Cross multiply
    204,604x = 446,378 × 446,378
  4. Step 4: Simplify right side
    204,604x = 199,253,318,884
  5. Step 5: Solve for x
    x = 199,253,318,884/204,604
  6. Step 6: Final answer
    x = 973,848.60

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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.