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Finding the Third Proportional to 422,102.25 and 603,565.88

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Solution

The third proportional to 422,102.25 and 603,565.88 is: 863,041.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,102.25 : 603,565.88 = 603,565.88 : x
  2. Step 2: Convert to fraction form
    422,102.25/603,565.88 = 603,565.88/x
  3. Step 3: Cross multiply
    422,102.25x = 603,565.88 × 603,565.88
  4. Step 4: Simplify right side
    422,102.25x = 364,291,765,464.52
  5. Step 5: Solve for x
    x = 364,291,765,464.52/422,102.25
  6. Step 6: Final answer
    x = 863,041.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.