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Finding the Third Proportional to 302,043 and 479,849

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Solution

The third proportional to 302,043 and 479,849 is: 762,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,043 : 479,849 = 479,849 : x
  2. Step 2: Convert to fraction form
    302,043/479,849 = 479,849/x
  3. Step 3: Cross multiply
    302,043x = 479,849 × 479,849
  4. Step 4: Simplify right side
    302,043x = 230,255,062,801
  5. Step 5: Solve for x
    x = 230,255,062,801/302,043
  6. Step 6: Final answer
    x = 762,325.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.