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Finding the Third Proportional to 304,104 and 472,032

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Solution

The third proportional to 304,104 and 472,032 is: 732,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,104 : 472,032 = 472,032 : x
  2. Step 2: Convert to fraction form
    304,104/472,032 = 472,032/x
  3. Step 3: Cross multiply
    304,104x = 472,032 × 472,032
  4. Step 4: Simplify right side
    304,104x = 222,814,209,024
  5. Step 5: Solve for x
    x = 222,814,209,024/304,104
  6. Step 6: Final answer
    x = 732,690.82

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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.