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Finding the Third Proportional to 225,675 and 495,630

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Solution

The third proportional to 225,675 and 495,630 is: 1,088,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,675 : 495,630 = 495,630 : x
  2. Step 2: Convert to fraction form
    225,675/495,630 = 495,630/x
  3. Step 3: Cross multiply
    225,675x = 495,630 × 495,630
  4. Step 4: Simplify right side
    225,675x = 245,649,096,900
  5. Step 5: Solve for x
    x = 245,649,096,900/225,675
  6. Step 6: Final answer
    x = 1,088,508.24

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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.