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Finding the Third Proportional to 374,967 and 580,675

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Solution

The third proportional to 374,967 and 580,675 is: 899,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,967 : 580,675 = 580,675 : x
  2. Step 2: Convert to fraction form
    374,967/580,675 = 580,675/x
  3. Step 3: Cross multiply
    374,967x = 580,675 × 580,675
  4. Step 4: Simplify right side
    374,967x = 337,183,455,625
  5. Step 5: Solve for x
    x = 337,183,455,625/374,967
  6. Step 6: Final answer
    x = 899,235.01

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.