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Finding the Third Proportional to 303,760 and 664,704

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Solution

The third proportional to 303,760 and 664,704 is: 1,454,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,760 : 664,704 = 664,704 : x
  2. Step 2: Convert to fraction form
    303,760/664,704 = 664,704/x
  3. Step 3: Cross multiply
    303,760x = 664,704 × 664,704
  4. Step 4: Simplify right side
    303,760x = 441,831,407,616
  5. Step 5: Solve for x
    x = 441,831,407,616/303,760
  6. Step 6: Final answer
    x = 1,454,541.11

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Why These Related Problems?

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