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Finding the Third Proportional to 301,121 and 668,670

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Solution

The third proportional to 301,121 and 668,670 is: 1,484,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,121 : 668,670 = 668,670 : x
  2. Step 2: Convert to fraction form
    301,121/668,670 = 668,670/x
  3. Step 3: Cross multiply
    301,121x = 668,670 × 668,670
  4. Step 4: Simplify right side
    301,121x = 447,119,568,900
  5. Step 5: Solve for x
    x = 447,119,568,900/301,121
  6. Step 6: Final answer
    x = 1,484,850.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.