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Finding the Third Proportional to 373,940 and 580,116

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Solution

The third proportional to 373,940 and 580,116 is: 899,969.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,940 : 580,116 = 580,116 : x
  2. Step 2: Convert to fraction form
    373,940/580,116 = 580,116/x
  3. Step 3: Cross multiply
    373,940x = 580,116 × 580,116
  4. Step 4: Simplify right side
    373,940x = 336,534,573,456
  5. Step 5: Solve for x
    x = 336,534,573,456/373,940
  6. Step 6: Final answer
    x = 899,969.44

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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.