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Finding the Third Proportional to 283,593.50 and 425,390

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Solution

The third proportional to 283,593.50 and 425,390 is: 638,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,593.50 : 425,390 = 425,390 : x
  2. Step 2: Convert to fraction form
    283,593.50/425,390 = 425,390/x
  3. Step 3: Cross multiply
    283,593.50x = 425,390 × 425,390
  4. Step 4: Simplify right side
    283,593.50x = 180,956,652,100
  5. Step 5: Solve for x
    x = 180,956,652,100/283,593.50
  6. Step 6: Final answer
    x = 638,084.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.