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Finding the Third Proportional to 304,229 and 472,936

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Solution

The third proportional to 304,229 and 472,936 is: 735,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,229 : 472,936 = 472,936 : x
  2. Step 2: Convert to fraction form
    304,229/472,936 = 472,936/x
  3. Step 3: Cross multiply
    304,229x = 472,936 × 472,936
  4. Step 4: Simplify right side
    304,229x = 223,668,460,096
  5. Step 5: Solve for x
    x = 223,668,460,096/304,229
  6. Step 6: Final answer
    x = 735,197.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.