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Finding the Third Proportional to 303,210 and 474,228

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Solution

The third proportional to 303,210 and 474,228 is: 741,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,210 : 474,228 = 474,228 : x
  2. Step 2: Convert to fraction form
    303,210/474,228 = 474,228/x
  3. Step 3: Cross multiply
    303,210x = 474,228 × 474,228
  4. Step 4: Simplify right side
    303,210x = 224,892,195,984
  5. Step 5: Solve for x
    x = 224,892,195,984/303,210
  6. Step 6: Final answer
    x = 741,704.42

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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.