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Finding the Third Proportional to 303,214 and 474,234

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Solution

The third proportional to 303,214 and 474,234 is: 741,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,214 : 474,234 = 474,234 : x
  2. Step 2: Convert to fraction form
    303,214/474,234 = 474,234/x
  3. Step 3: Cross multiply
    303,214x = 474,234 × 474,234
  4. Step 4: Simplify right side
    303,214x = 224,897,886,756
  5. Step 5: Solve for x
    x = 224,897,886,756/303,214
  6. Step 6: Final answer
    x = 741,713.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.