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Finding the Third Proportional to 363,578 and 603,835

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Solution

The third proportional to 363,578 and 603,835 is: 1,002,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,578 : 603,835 = 603,835 : x
  2. Step 2: Convert to fraction form
    363,578/603,835 = 603,835/x
  3. Step 3: Cross multiply
    363,578x = 603,835 × 603,835
  4. Step 4: Simplify right side
    363,578x = 364,616,707,225
  5. Step 5: Solve for x
    x = 364,616,707,225/363,578
  6. Step 6: Final answer
    x = 1,002,856.90

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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.