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Finding the Third Proportional to 374,965 and 580,672

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Solution

The third proportional to 374,965 and 580,672 is: 899,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,965 : 580,672 = 580,672 : x
  2. Step 2: Convert to fraction form
    374,965/580,672 = 580,672/x
  3. Step 3: Cross multiply
    374,965x = 580,672 × 580,672
  4. Step 4: Simplify right side
    374,965x = 337,179,971,584
  5. Step 5: Solve for x
    x = 337,179,971,584/374,965
  6. Step 6: Final answer
    x = 899,230.52

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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.