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Finding the Third Proportional to 504,706.75 and 775,770.75

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Solution

The third proportional to 504,706.75 and 775,770.75 is: 1,192,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,706.75 : 775,770.75 = 775,770.75 : x
  2. Step 2: Convert to fraction form
    504,706.75/775,770.75 = 775,770.75/x
  3. Step 3: Cross multiply
    504,706.75x = 775,770.75 × 775,770.75
  4. Step 4: Simplify right side
    504,706.75x = 601,820,256,555.56
  5. Step 5: Solve for x
    x = 601,820,256,555.56/504,706.75
  6. Step 6: Final answer
    x = 1,192,415.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.