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Finding the Third Proportional to 269,669.25 and 599,197.50

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Solution

The third proportional to 269,669.25 and 599,197.50 is: 1,331,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,669.25 : 599,197.50 = 599,197.50 : x
  2. Step 2: Convert to fraction form
    269,669.25/599,197.50 = 599,197.50/x
  3. Step 3: Cross multiply
    269,669.25x = 599,197.50 × 599,197.50
  4. Step 4: Simplify right side
    269,669.25x = 359,037,644,006.25
  5. Step 5: Solve for x
    x = 359,037,644,006.25/269,669.25
  6. Step 6: Final answer
    x = 1,331,400.02

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.