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Finding the Third Proportional to 225,648 and 495,574

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Solution

The third proportional to 225,648 and 495,574 is: 1,088,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,648 : 495,574 = 495,574 : x
  2. Step 2: Convert to fraction form
    225,648/495,574 = 495,574/x
  3. Step 3: Cross multiply
    225,648x = 495,574 × 495,574
  4. Step 4: Simplify right side
    225,648x = 245,593,589,476
  5. Step 5: Solve for x
    x = 245,593,589,476/225,648
  6. Step 6: Final answer
    x = 1,088,392.49

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