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Finding the Third Proportional to 254,737.50 and 539,790

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Solution

The third proportional to 254,737.50 and 539,790 is: 1,143,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,737.50 : 539,790 = 539,790 : x
  2. Step 2: Convert to fraction form
    254,737.50/539,790 = 539,790/x
  3. Step 3: Cross multiply
    254,737.50x = 539,790 × 539,790
  4. Step 4: Simplify right side
    254,737.50x = 291,373,244,100
  5. Step 5: Solve for x
    x = 291,373,244,100/254,737.50
  6. Step 6: Final answer
    x = 1,143,817.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.