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Finding the Third Proportional to 304,229 and 472,935

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Solution

The third proportional to 304,229 and 472,935 is: 735,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,229 : 472,935 = 472,935 : x
  2. Step 2: Convert to fraction form
    304,229/472,935 = 472,935/x
  3. Step 3: Cross multiply
    304,229x = 472,935 × 472,935
  4. Step 4: Simplify right side
    304,229x = 223,667,514,225
  5. Step 5: Solve for x
    x = 223,667,514,225/304,229
  6. Step 6: Final answer
    x = 735,194.59

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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.