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Finding the Third Proportional to 312,002 and 673,816

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Solution

The third proportional to 312,002 and 673,816 is: 1,455,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,002 : 673,816 = 673,816 : x
  2. Step 2: Convert to fraction form
    312,002/673,816 = 673,816/x
  3. Step 3: Cross multiply
    312,002x = 673,816 × 673,816
  4. Step 4: Simplify right side
    312,002x = 454,028,001,856
  5. Step 5: Solve for x
    x = 454,028,001,856/312,002
  6. Step 6: Final answer
    x = 1,455,208.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.