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Finding the Third Proportional to 474,383 and 733,742

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Solution

The third proportional to 474,383 and 733,742 is: 1,134,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,383 : 733,742 = 733,742 : x
  2. Step 2: Convert to fraction form
    474,383/733,742 = 733,742/x
  3. Step 3: Cross multiply
    474,383x = 733,742 × 733,742
  4. Step 4: Simplify right side
    474,383x = 538,377,322,564
  5. Step 5: Solve for x
    x = 538,377,322,564/474,383
  6. Step 6: Final answer
    x = 1,134,900.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.