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Finding the Third Proportional to 295,699.50 and 452,418.75

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Solution

The third proportional to 295,699.50 and 452,418.75 is: 692,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,699.50 : 452,418.75 = 452,418.75 : x
  2. Step 2: Convert to fraction form
    295,699.50/452,418.75 = 452,418.75/x
  3. Step 3: Cross multiply
    295,699.50x = 452,418.75 × 452,418.75
  4. Step 4: Simplify right side
    295,699.50x = 204,682,725,351.56
  5. Step 5: Solve for x
    x = 204,682,725,351.56/295,699.50
  6. Step 6: Final answer
    x = 692,198.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.