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Finding the Third Proportional to 225,646 and 495,571

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Solution

The third proportional to 225,646 and 495,571 is: 1,088,388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,646 : 495,571 = 495,571 : x
  2. Step 2: Convert to fraction form
    225,646/495,571 = 495,571/x
  3. Step 3: Cross multiply
    225,646x = 495,571 × 495,571
  4. Step 4: Simplify right side
    225,646x = 245,590,616,041
  5. Step 5: Solve for x
    x = 245,590,616,041/225,646
  6. Step 6: Final answer
    x = 1,088,388.96

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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.