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Finding the Third Proportional to 303,665.69 and 664,535.38

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Solution

The third proportional to 303,665.69 and 664,535.38 is: 1,454,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,665.69 : 664,535.38 = 664,535.38 : x
  2. Step 2: Convert to fraction form
    303,665.69/664,535.38 = 664,535.38/x
  3. Step 3: Cross multiply
    303,665.69x = 664,535.38 × 664,535.38
  4. Step 4: Simplify right side
    303,665.69x = 441,607,264,626.39
  5. Step 5: Solve for x
    x = 441,607,264,626.39/303,665.69
  6. Step 6: Final answer
    x = 1,454,254.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.