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Finding the Third Proportional to 311,338 and 474,783

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Solution

The third proportional to 311,338 and 474,783 is: 724,032.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,338 : 474,783 = 474,783 : x
  2. Step 2: Convert to fraction form
    311,338/474,783 = 474,783/x
  3. Step 3: Cross multiply
    311,338x = 474,783 × 474,783
  4. Step 4: Simplify right side
    311,338x = 225,418,897,089
  5. Step 5: Solve for x
    x = 225,418,897,089/311,338
  6. Step 6: Final answer
    x = 724,032.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.