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Finding the Third Proportional to 283,692 and 580,344

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Solution

The third proportional to 283,692 and 580,344 is: 1,187,200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,692 : 580,344 = 580,344 : x
  2. Step 2: Convert to fraction form
    283,692/580,344 = 580,344/x
  3. Step 3: Cross multiply
    283,692x = 580,344 × 580,344
  4. Step 4: Simplify right side
    283,692x = 336,799,158,336
  5. Step 5: Solve for x
    x = 336,799,158,336/283,692
  6. Step 6: Final answer
    x = 1,187,200.06

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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.