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Finding the Third Proportional to 363,576 and 603,832

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Solution

The third proportional to 363,576 and 603,832 is: 1,002,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,576 : 603,832 = 603,832 : x
  2. Step 2: Convert to fraction form
    363,576/603,832 = 603,832/x
  3. Step 3: Cross multiply
    363,576x = 603,832 × 603,832
  4. Step 4: Simplify right side
    363,576x = 364,613,084,224
  5. Step 5: Solve for x
    x = 364,613,084,224/363,576
  6. Step 6: Final answer
    x = 1,002,852.46

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.