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Finding the Third Proportional to 373,941 and 580,113

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Solution

The third proportional to 373,941 and 580,113 is: 899,957.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,941 : 580,113 = 580,113 : x
  2. Step 2: Convert to fraction form
    373,941/580,113 = 580,113/x
  3. Step 3: Cross multiply
    373,941x = 580,113 × 580,113
  4. Step 4: Simplify right side
    373,941x = 336,531,092,769
  5. Step 5: Solve for x
    x = 336,531,092,769/373,941
  6. Step 6: Final answer
    x = 899,957.73

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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.