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Finding the Third Proportional to 204,516 and 446,220

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Solution

The third proportional to 204,516 and 446,220 is: 973,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,516 : 446,220 = 446,220 : x
  2. Step 2: Convert to fraction form
    204,516/446,220 = 446,220/x
  3. Step 3: Cross multiply
    204,516x = 446,220 × 446,220
  4. Step 4: Simplify right side
    204,516x = 199,112,288,400
  5. Step 5: Solve for x
    x = 199,112,288,400/204,516
  6. Step 6: Final answer
    x = 973,578.05

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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.