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Finding the Third Proportional to 603,236 and 933,194

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Solution

The third proportional to 603,236 and 933,194 is: 1,443,632.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,236 : 933,194 = 933,194 : x
  2. Step 2: Convert to fraction form
    603,236/933,194 = 933,194/x
  3. Step 3: Cross multiply
    603,236x = 933,194 × 933,194
  4. Step 4: Simplify right side
    603,236x = 870,851,041,636
  5. Step 5: Solve for x
    x = 870,851,041,636/603,236
  6. Step 6: Final answer
    x = 1,443,632.41

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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.