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Finding the Third Proportional to 203,784 and 449,040

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Solution

The third proportional to 203,784 and 449,040 is: 989,463.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,784 : 449,040 = 449,040 : x
  2. Step 2: Convert to fraction form
    203,784/449,040 = 449,040/x
  3. Step 3: Cross multiply
    203,784x = 449,040 × 449,040
  4. Step 4: Simplify right side
    203,784x = 201,636,921,600
  5. Step 5: Solve for x
    x = 201,636,921,600/203,784
  6. Step 6: Final answer
    x = 989,463.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.