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Finding the Third Proportional to 300,801 and 449,681

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Solution

The third proportional to 300,801 and 449,681 is: 672,248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,801 : 449,681 = 449,681 : x
  2. Step 2: Convert to fraction form
    300,801/449,681 = 449,681/x
  3. Step 3: Cross multiply
    300,801x = 449,681 × 449,681
  4. Step 4: Simplify right side
    300,801x = 202,213,001,761
  5. Step 5: Solve for x
    x = 202,213,001,761/300,801
  6. Step 6: Final answer
    x = 672,248.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.