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Finding the Third Proportional to 204,830 and 445,562

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Solution

The third proportional to 204,830 and 445,562 is: 969,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,830 : 445,562 = 445,562 : x
  2. Step 2: Convert to fraction form
    204,830/445,562 = 445,562/x
  3. Step 3: Cross multiply
    204,830x = 445,562 × 445,562
  4. Step 4: Simplify right side
    204,830x = 198,525,495,844
  5. Step 5: Solve for x
    x = 198,525,495,844/204,830
  6. Step 6: Final answer
    x = 969,220.80

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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.