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Finding the Third Proportional to 283,583 and 580,086

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Solution

The third proportional to 283,583 and 580,086 is: 1,186,600.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,583 : 580,086 = 580,086 : x
  2. Step 2: Convert to fraction form
    283,583/580,086 = 580,086/x
  3. Step 3: Cross multiply
    283,583x = 580,086 × 580,086
  4. Step 4: Simplify right side
    283,583x = 336,499,767,396
  5. Step 5: Solve for x
    x = 336,499,767,396/283,583
  6. Step 6: Final answer
    x = 1,186,600.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.