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Finding the Third Proportional to 374,902 and 580,670

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Solution

The third proportional to 374,902 and 580,670 is: 899,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,902 : 580,670 = 580,670 : x
  2. Step 2: Convert to fraction form
    374,902/580,670 = 580,670/x
  3. Step 3: Cross multiply
    374,902x = 580,670 × 580,670
  4. Step 4: Simplify right side
    374,902x = 337,177,648,900
  5. Step 5: Solve for x
    x = 337,177,648,900/374,902
  6. Step 6: Final answer
    x = 899,375.43

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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.