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Finding the Third Proportional to 302,314 and 451,891

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Solution

The third proportional to 302,314 and 451,891 is: 675,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,314 : 451,891 = 451,891 : x
  2. Step 2: Convert to fraction form
    302,314/451,891 = 451,891/x
  3. Step 3: Cross multiply
    302,314x = 451,891 × 451,891
  4. Step 4: Simplify right side
    302,314x = 204,205,475,881
  5. Step 5: Solve for x
    x = 204,205,475,881/302,314
  6. Step 6: Final answer
    x = 675,474.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.