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Finding the Third Proportional to 206,943.19 and 446,536.13

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Solution

The third proportional to 206,943.19 and 446,536.13 is: 963,522.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,943.19 : 446,536.13 = 446,536.13 : x
  2. Step 2: Convert to fraction form
    206,943.19/446,536.13 = 446,536.13/x
  3. Step 3: Cross multiply
    206,943.19x = 446,536.13 × 446,536.13
  4. Step 4: Simplify right side
    206,943.19x = 199,394,510,930.02
  5. Step 5: Solve for x
    x = 199,394,510,930.02/206,943.19
  6. Step 6: Final answer
    x = 963,522.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.