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Finding the Third Proportional to 399,195.84 and 606,414.09

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Solution

The third proportional to 399,195.84 and 606,414.09 is: 921,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,195.84 : 606,414.09 = 606,414.09 : x
  2. Step 2: Convert to fraction form
    399,195.84/606,414.09 = 606,414.09/x
  3. Step 3: Cross multiply
    399,195.84x = 606,414.09 × 606,414.09
  4. Step 4: Simplify right side
    399,195.84x = 367,738,053,098.63
  5. Step 5: Solve for x
    x = 367,738,053,098.63/399,195.84
  6. Step 6: Final answer
    x = 921,197.10

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.