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Finding the Third Proportional to 333,262 and 476,228

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Solution

The third proportional to 333,262 and 476,228 is: 680,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,262 : 476,228 = 476,228 : x
  2. Step 2: Convert to fraction form
    333,262/476,228 = 476,228/x
  3. Step 3: Cross multiply
    333,262x = 476,228 × 476,228
  4. Step 4: Simplify right side
    333,262x = 226,793,107,984
  5. Step 5: Solve for x
    x = 226,793,107,984/333,262
  6. Step 6: Final answer
    x = 680,524.96

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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.