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Finding the Third Proportional to 373,910 and 580,071

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Solution

The third proportional to 373,910 and 580,071 is: 899,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,910 : 580,071 = 580,071 : x
  2. Step 2: Convert to fraction form
    373,910/580,071 = 580,071/x
  3. Step 3: Cross multiply
    373,910x = 580,071 × 580,071
  4. Step 4: Simplify right side
    373,910x = 336,482,365,041
  5. Step 5: Solve for x
    x = 336,482,365,041/373,910
  6. Step 6: Final answer
    x = 899,902.02

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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.