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Finding the Third Proportional to 202,684 and 441,044

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Solution

The third proportional to 202,684 and 441,044 is: 959,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,684 : 441,044 = 441,044 : x
  2. Step 2: Convert to fraction form
    202,684/441,044 = 441,044/x
  3. Step 3: Cross multiply
    202,684x = 441,044 × 441,044
  4. Step 4: Simplify right side
    202,684x = 194,519,809,936
  5. Step 5: Solve for x
    x = 194,519,809,936/202,684
  6. Step 6: Final answer
    x = 959,719.61

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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.