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Finding the Third Proportional to 333,272 and 476,247

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Solution

The third proportional to 333,272 and 476,247 is: 680,558.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,272 : 476,247 = 476,247 : x
  2. Step 2: Convert to fraction form
    333,272/476,247 = 476,247/x
  3. Step 3: Cross multiply
    333,272x = 476,247 × 476,247
  4. Step 4: Simplify right side
    333,272x = 226,811,205,009
  5. Step 5: Solve for x
    x = 226,811,205,009/333,272
  6. Step 6: Final answer
    x = 680,558.84

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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.