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Finding the Third Proportional to 504,517.50 and 758,895.75

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Solution

The third proportional to 504,517.50 and 758,895.75 is: 1,141,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,517.50 : 758,895.75 = 758,895.75 : x
  2. Step 2: Convert to fraction form
    504,517.50/758,895.75 = 758,895.75/x
  3. Step 3: Cross multiply
    504,517.50x = 758,895.75 × 758,895.75
  4. Step 4: Simplify right side
    504,517.50x = 575,922,759,368.06
  5. Step 5: Solve for x
    x = 575,922,759,368.06/504,517.50
  6. Step 6: Final answer
    x = 1,141,531.78

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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.