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Finding the Third Proportional to 204,317.91 and 445,420.42

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Solution

The third proportional to 204,317.91 and 445,420.42 is: 971,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,317.91 : 445,420.42 = 445,420.42 : x
  2. Step 2: Convert to fraction form
    204,317.91/445,420.42 = 445,420.42/x
  3. Step 3: Cross multiply
    204,317.91x = 445,420.42 × 445,420.42
  4. Step 4: Simplify right side
    204,317.91x = 198,399,353,963.22
  5. Step 5: Solve for x
    x = 198,399,353,963.22/204,317.91
  6. Step 6: Final answer
    x = 971,032.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.