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Finding the Third Proportional to 225,517 and 495,674

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Solution

The third proportional to 225,517 and 495,674 is: 1,089,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,517 : 495,674 = 495,674 : x
  2. Step 2: Convert to fraction form
    225,517/495,674 = 495,674/x
  3. Step 3: Cross multiply
    225,517x = 495,674 × 495,674
  4. Step 4: Simplify right side
    225,517x = 245,692,714,276
  5. Step 5: Solve for x
    x = 245,692,714,276/225,517
  6. Step 6: Final answer
    x = 1,089,464.27

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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.