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Finding the Third Proportional to 225,656 and 495,601

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Solution

The third proportional to 225,656 and 495,601 is: 1,088,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656 : 495,601 = 495,601 : x
  2. Step 2: Convert to fraction form
    225,656/495,601 = 495,601/x
  3. Step 3: Cross multiply
    225,656x = 495,601 × 495,601
  4. Step 4: Simplify right side
    225,656x = 245,620,351,201
  5. Step 5: Solve for x
    x = 245,620,351,201/225,656
  6. Step 6: Final answer
    x = 1,088,472.50

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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.