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Finding the Third Proportional to 254,524.50 and 502,622.75

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Solution

The third proportional to 254,524.50 and 502,622.75 is: 992,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,524.50 : 502,622.75 = 502,622.75 : x
  2. Step 2: Convert to fraction form
    254,524.50/502,622.75 = 502,622.75/x
  3. Step 3: Cross multiply
    254,524.50x = 502,622.75 × 502,622.75
  4. Step 4: Simplify right side
    254,524.50x = 252,629,628,817.56
  5. Step 5: Solve for x
    x = 252,629,628,817.56/254,524.50
  6. Step 6: Final answer
    x = 992,555.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.