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Finding the Third Proportional to 202,304 and 449,536

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Solution

The third proportional to 202,304 and 449,536 is: 998,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,304 : 449,536 = 449,536 : x
  2. Step 2: Convert to fraction form
    202,304/449,536 = 449,536/x
  3. Step 3: Cross multiply
    202,304x = 449,536 × 449,536
  4. Step 4: Simplify right side
    202,304x = 202,082,615,296
  5. Step 5: Solve for x
    x = 202,082,615,296/202,304
  6. Step 6: Final answer
    x = 998,905.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.