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Finding the Third Proportional to 283,800 and 610,652

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Solution

The third proportional to 283,800 and 610,652 is: 1,313,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,800 : 610,652 = 610,652 : x
  2. Step 2: Convert to fraction form
    283,800/610,652 = 610,652/x
  3. Step 3: Cross multiply
    283,800x = 610,652 × 610,652
  4. Step 4: Simplify right side
    283,800x = 372,895,865,104
  5. Step 5: Solve for x
    x = 372,895,865,104/283,800
  6. Step 6: Final answer
    x = 1,313,938.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.