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Finding the Third Proportional to 333,214 and 474,890

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Solution

The third proportional to 333,214 and 474,890 is: 676,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,214 : 474,890 = 474,890 : x
  2. Step 2: Convert to fraction form
    333,214/474,890 = 474,890/x
  3. Step 3: Cross multiply
    333,214x = 474,890 × 474,890
  4. Step 4: Simplify right side
    333,214x = 225,520,512,100
  5. Step 5: Solve for x
    x = 225,520,512,100/333,214
  6. Step 6: Final answer
    x = 676,803.83

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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.