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Finding the Third Proportional to 225,661 and 495,608

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Solution

The third proportional to 225,661 and 495,608 is: 1,088,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,661 : 495,608 = 495,608 : x
  2. Step 2: Convert to fraction form
    225,661/495,608 = 495,608/x
  3. Step 3: Cross multiply
    225,661x = 495,608 × 495,608
  4. Step 4: Simplify right side
    225,661x = 245,627,289,664
  5. Step 5: Solve for x
    x = 245,627,289,664/225,661
  6. Step 6: Final answer
    x = 1,088,479.13

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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.