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Finding the Third Proportional to 373,694 and 580,225

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Solution

The third proportional to 373,694 and 580,225 is: 900,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,694 : 580,225 = 580,225 : x
  2. Step 2: Convert to fraction form
    373,694/580,225 = 580,225/x
  3. Step 3: Cross multiply
    373,694x = 580,225 × 580,225
  4. Step 4: Simplify right side
    373,694x = 336,661,050,625
  5. Step 5: Solve for x
    x = 336,661,050,625/373,694
  6. Step 6: Final answer
    x = 900,900.34

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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.