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Finding the Third Proportional to 333,268 and 476,241

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Solution

The third proportional to 333,268 and 476,241 is: 680,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,268 : 476,241 = 476,241 : x
  2. Step 2: Convert to fraction form
    333,268/476,241 = 476,241/x
  3. Step 3: Cross multiply
    333,268x = 476,241 × 476,241
  4. Step 4: Simplify right side
    333,268x = 226,805,490,081
  5. Step 5: Solve for x
    x = 226,805,490,081/333,268
  6. Step 6: Final answer
    x = 680,549.86

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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.