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Finding the Third Proportional to 333,210 and 474,885

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Solution

The third proportional to 333,210 and 474,885 is: 676,797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,210 : 474,885 = 474,885 : x
  2. Step 2: Convert to fraction form
    333,210/474,885 = 474,885/x
  3. Step 3: Cross multiply
    333,210x = 474,885 × 474,885
  4. Step 4: Simplify right side
    333,210x = 225,515,763,225
  5. Step 5: Solve for x
    x = 225,515,763,225/333,210
  6. Step 6: Final answer
    x = 676,797.70

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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.