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Finding the Third Proportional to 266,747.34 and 474,286.22

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Solution

The third proportional to 266,747.34 and 474,286.22 is: 843,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,747.34 : 474,286.22 = 474,286.22 : x
  2. Step 2: Convert to fraction form
    266,747.34/474,286.22 = 474,286.22/x
  3. Step 3: Cross multiply
    266,747.34x = 474,286.22 × 474,286.22
  4. Step 4: Simplify right side
    266,747.34x = 224,947,417,296.17
  5. Step 5: Solve for x
    x = 224,947,417,296.17/266,747.34
  6. Step 6: Final answer
    x = 843,297.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.