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Finding the Third Proportional to 202,661 and 438,855

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Solution

The third proportional to 202,661 and 438,855 is: 950,324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,661 : 438,855 = 438,855 : x
  2. Step 2: Convert to fraction form
    202,661/438,855 = 438,855/x
  3. Step 3: Cross multiply
    202,661x = 438,855 × 438,855
  4. Step 4: Simplify right side
    202,661x = 192,593,711,025
  5. Step 5: Solve for x
    x = 192,593,711,025/202,661
  6. Step 6: Final answer
    x = 950,324.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.