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Finding the Third Proportional to 303,670 and 664,544

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Solution

The third proportional to 303,670 and 664,544 is: 1,454,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,670 : 664,544 = 664,544 : x
  2. Step 2: Convert to fraction form
    303,670/664,544 = 664,544/x
  3. Step 3: Cross multiply
    303,670x = 664,544 × 664,544
  4. Step 4: Simplify right side
    303,670x = 441,618,727,936
  5. Step 5: Solve for x
    x = 441,618,727,936/303,670
  6. Step 6: Final answer
    x = 1,454,271.83

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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.