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Finding the Third Proportional to 333,264 and 476,235

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Solution

The third proportional to 333,264 and 476,235 is: 680,540.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,264 : 476,235 = 476,235 : x
  2. Step 2: Convert to fraction form
    333,264/476,235 = 476,235/x
  3. Step 3: Cross multiply
    333,264x = 476,235 × 476,235
  4. Step 4: Simplify right side
    333,264x = 226,799,775,225
  5. Step 5: Solve for x
    x = 226,799,775,225/333,264
  6. Step 6: Final answer
    x = 680,540.88

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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.