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Finding the Third Proportional to 288,930.50 and 449,132.50

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Solution

The third proportional to 288,930.50 and 449,132.50 is: 698,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,930.50 : 449,132.50 = 449,132.50 : x
  2. Step 2: Convert to fraction form
    288,930.50/449,132.50 = 449,132.50/x
  3. Step 3: Cross multiply
    288,930.50x = 449,132.50 × 449,132.50
  4. Step 4: Simplify right side
    288,930.50x = 201,720,002,556.25
  5. Step 5: Solve for x
    x = 201,720,002,556.25/288,930.50
  6. Step 6: Final answer
    x = 698,160.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.