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Finding the Third Proportional to 235,608.75 and 508,578.75

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Solution

The third proportional to 235,608.75 and 508,578.75 is: 1,097,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,608.75 : 508,578.75 = 508,578.75 : x
  2. Step 2: Convert to fraction form
    235,608.75/508,578.75 = 508,578.75/x
  3. Step 3: Cross multiply
    235,608.75x = 508,578.75 × 508,578.75
  4. Step 4: Simplify right side
    235,608.75x = 258,652,344,951.56
  5. Step 5: Solve for x
    x = 258,652,344,951.56/235,608.75
  6. Step 6: Final answer
    x = 1,097,804.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.