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Finding the Third Proportional to 366,414.75 and 807,369.75

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Solution

The third proportional to 366,414.75 and 807,369.75 is: 1,778,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,414.75 : 807,369.75 = 807,369.75 : x
  2. Step 2: Convert to fraction form
    366,414.75/807,369.75 = 807,369.75/x
  3. Step 3: Cross multiply
    366,414.75x = 807,369.75 × 807,369.75
  4. Step 4: Simplify right side
    366,414.75x = 651,845,913,215.06
  5. Step 5: Solve for x
    x = 651,845,913,215.06/366,414.75
  6. Step 6: Final answer
    x = 1,778,983.82

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