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Finding the Third Proportional to 333,266 and 476,238

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Solution

The third proportional to 333,266 and 476,238 is: 680,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,266 : 476,238 = 476,238 : x
  2. Step 2: Convert to fraction form
    333,266/476,238 = 476,238/x
  3. Step 3: Cross multiply
    333,266x = 476,238 × 476,238
  4. Step 4: Simplify right side
    333,266x = 226,802,632,644
  5. Step 5: Solve for x
    x = 226,802,632,644/333,266
  6. Step 6: Final answer
    x = 680,545.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.