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Finding the Third Proportional to 603,238 and 933,197

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Solution

The third proportional to 603,238 and 933,197 is: 1,443,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,238 : 933,197 = 933,197 : x
  2. Step 2: Convert to fraction form
    603,238/933,197 = 933,197/x
  3. Step 3: Cross multiply
    603,238x = 933,197 × 933,197
  4. Step 4: Simplify right side
    603,238x = 870,856,640,809
  5. Step 5: Solve for x
    x = 870,856,640,809/603,238
  6. Step 6: Final answer
    x = 1,443,636.91

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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.