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Finding the Third Proportional to 302,298 and 451,866

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Solution

The third proportional to 302,298 and 451,866 is: 675,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,298 : 451,866 = 451,866 : x
  2. Step 2: Convert to fraction form
    302,298/451,866 = 451,866/x
  3. Step 3: Cross multiply
    302,298x = 451,866 × 451,866
  4. Step 4: Simplify right side
    302,298x = 204,182,881,956
  5. Step 5: Solve for x
    x = 204,182,881,956/302,298
  6. Step 6: Final answer
    x = 675,435.77

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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.