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Finding the Third Proportional to 283,276.50 and 611,790

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Solution

The third proportional to 283,276.50 and 611,790 is: 1,321,277.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,276.50 : 611,790 = 611,790 : x
  2. Step 2: Convert to fraction form
    283,276.50/611,790 = 611,790/x
  3. Step 3: Cross multiply
    283,276.50x = 611,790 × 611,790
  4. Step 4: Simplify right side
    283,276.50x = 374,287,004,100
  5. Step 5: Solve for x
    x = 374,287,004,100/283,276.50
  6. Step 6: Final answer
    x = 1,321,277.99

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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.