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Finding the Third Proportional to 203,823 and 479,584.13

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Solution

The third proportional to 203,823 and 479,584.13 is: 1,128,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,823 : 479,584.13 = 479,584.13 : x
  2. Step 2: Convert to fraction form
    203,823/479,584.13 = 479,584.13/x
  3. Step 3: Cross multiply
    203,823x = 479,584.13 × 479,584.13
  4. Step 4: Simplify right side
    203,823x = 230,000,932,952.02
  5. Step 5: Solve for x
    x = 230,000,932,952.02/203,823
  6. Step 6: Final answer
    x = 1,128,434.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.