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Finding the Third Proportional to 303,834 and 664,935

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Solution

The third proportional to 303,834 and 664,935 is: 1,455,197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,834 : 664,935 = 664,935 : x
  2. Step 2: Convert to fraction form
    303,834/664,935 = 664,935/x
  3. Step 3: Cross multiply
    303,834x = 664,935 × 664,935
  4. Step 4: Simplify right side
    303,834x = 442,138,554,225
  5. Step 5: Solve for x
    x = 442,138,554,225/303,834
  6. Step 6: Final answer
    x = 1,455,197.75

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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.