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Finding the Third Proportional to 302,304 and 451,877

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Solution

The third proportional to 302,304 and 451,877 is: 675,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,304 : 451,877 = 451,877 : x
  2. Step 2: Convert to fraction form
    302,304/451,877 = 451,877/x
  3. Step 3: Cross multiply
    302,304x = 451,877 × 451,877
  4. Step 4: Simplify right side
    302,304x = 204,192,823,129
  5. Step 5: Solve for x
    x = 204,192,823,129/302,304
  6. Step 6: Final answer
    x = 675,455.25

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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.