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Finding the Third Proportional to 283,784.50 and 591,606

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Solution

The third proportional to 283,784.50 and 591,606 is: 1,233,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,784.50 : 591,606 = 591,606 : x
  2. Step 2: Convert to fraction form
    283,784.50/591,606 = 591,606/x
  3. Step 3: Cross multiply
    283,784.50x = 591,606 × 591,606
  4. Step 4: Simplify right side
    283,784.50x = 349,997,659,236
  5. Step 5: Solve for x
    x = 349,997,659,236/283,784.50
  6. Step 6: Final answer
    x = 1,233,321.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.