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Finding the Third Proportional to 333,223 and 474,903

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Solution

The third proportional to 333,223 and 474,903 is: 676,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,223 : 474,903 = 474,903 : x
  2. Step 2: Convert to fraction form
    333,223/474,903 = 474,903/x
  3. Step 3: Cross multiply
    333,223x = 474,903 × 474,903
  4. Step 4: Simplify right side
    333,223x = 225,532,859,409
  5. Step 5: Solve for x
    x = 225,532,859,409/333,223
  6. Step 6: Final answer
    x = 676,822.61

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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.