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Finding the Third Proportional to 225,640.50 and 495,561

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Solution

The third proportional to 225,640.50 and 495,561 is: 1,088,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,640.50 : 495,561 = 495,561 : x
  2. Step 2: Convert to fraction form
    225,640.50/495,561 = 495,561/x
  3. Step 3: Cross multiply
    225,640.50x = 495,561 × 495,561
  4. Step 4: Simplify right side
    225,640.50x = 245,580,704,721
  5. Step 5: Solve for x
    x = 245,580,704,721/225,640.50
  6. Step 6: Final answer
    x = 1,088,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.