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Finding the Third Proportional to 325,747.50 and 495,262.50

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Solution

The third proportional to 325,747.50 and 495,262.50 is: 752,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,747.50 : 495,262.50 = 495,262.50 : x
  2. Step 2: Convert to fraction form
    325,747.50/495,262.50 = 495,262.50/x
  3. Step 3: Cross multiply
    325,747.50x = 495,262.50 × 495,262.50
  4. Step 4: Simplify right side
    325,747.50x = 245,284,943,906.25
  5. Step 5: Solve for x
    x = 245,284,943,906.25/325,747.50
  6. Step 6: Final answer
    x = 752,991.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.