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Finding the Third Proportional to 283,570.50 and 613,689

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Solution

The third proportional to 283,570.50 and 613,689 is: 1,328,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,570.50 : 613,689 = 613,689 : x
  2. Step 2: Convert to fraction form
    283,570.50/613,689 = 613,689/x
  3. Step 3: Cross multiply
    283,570.50x = 613,689 × 613,689
  4. Step 4: Simplify right side
    283,570.50x = 376,614,188,721
  5. Step 5: Solve for x
    x = 376,614,188,721/283,570.50
  6. Step 6: Final answer
    x = 1,328,114.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.