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Finding the Third Proportional to 302,308 and 451,883

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Solution

The third proportional to 302,308 and 451,883 is: 675,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,308 : 451,883 = 451,883 : x
  2. Step 2: Convert to fraction form
    302,308/451,883 = 451,883/x
  3. Step 3: Cross multiply
    302,308x = 451,883 × 451,883
  4. Step 4: Simplify right side
    302,308x = 204,198,245,689
  5. Step 5: Solve for x
    x = 204,198,245,689/302,308
  6. Step 6: Final answer
    x = 675,464.25

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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.