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Finding the Third Proportional to 304,227 and 472,933

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Solution

The third proportional to 304,227 and 472,933 is: 735,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,227 : 472,933 = 472,933 : x
  2. Step 2: Convert to fraction form
    304,227/472,933 = 472,933/x
  3. Step 3: Cross multiply
    304,227x = 472,933 × 472,933
  4. Step 4: Simplify right side
    304,227x = 223,665,622,489
  5. Step 5: Solve for x
    x = 223,665,622,489/304,227
  6. Step 6: Final answer
    x = 735,193.20

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Why These Related Problems?

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