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Finding the Third Proportional to 202,463 and 443,062

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Solution

The third proportional to 202,463 and 443,062 is: 969,579.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463 : 443,062 = 443,062 : x
  2. Step 2: Convert to fraction form
    202,463/443,062 = 443,062/x
  3. Step 3: Cross multiply
    202,463x = 443,062 × 443,062
  4. Step 4: Simplify right side
    202,463x = 196,303,935,844
  5. Step 5: Solve for x
    x = 196,303,935,844/202,463
  6. Step 6: Final answer
    x = 969,579.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.