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Finding the Third Proportional to 333,263 and 476,229

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Solution

The third proportional to 333,263 and 476,229 is: 680,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,263 : 476,229 = 476,229 : x
  2. Step 2: Convert to fraction form
    333,263/476,229 = 476,229/x
  3. Step 3: Cross multiply
    333,263x = 476,229 × 476,229
  4. Step 4: Simplify right side
    333,263x = 226,794,060,441
  5. Step 5: Solve for x
    x = 226,794,060,441/333,263
  6. Step 6: Final answer
    x = 680,525.77

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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.