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Finding the Third Proportional to 304,032 and 470,811

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Solution

The third proportional to 304,032 and 470,811 is: 729,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,032 : 470,811 = 470,811 : x
  2. Step 2: Convert to fraction form
    304,032/470,811 = 470,811/x
  3. Step 3: Cross multiply
    304,032x = 470,811 × 470,811
  4. Step 4: Simplify right side
    304,032x = 221,662,997,721
  5. Step 5: Solve for x
    x = 221,662,997,721/304,032
  6. Step 6: Final answer
    x = 729,077.85

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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.