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Finding the Third Proportional to 283,580 and 613,704

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Solution

The third proportional to 283,580 and 613,704 is: 1,328,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,580 : 613,704 = 613,704 : x
  2. Step 2: Convert to fraction form
    283,580/613,704 = 613,704/x
  3. Step 3: Cross multiply
    283,580x = 613,704 × 613,704
  4. Step 4: Simplify right side
    283,580x = 376,632,599,616
  5. Step 5: Solve for x
    x = 376,632,599,616/283,580
  6. Step 6: Final answer
    x = 1,328,135.27

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Why These Related Problems?

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