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Finding the Third Proportional to 225,084 and 495,822

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Solution

The third proportional to 225,084 and 495,822 is: 1,092,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,084 : 495,822 = 495,822 : x
  2. Step 2: Convert to fraction form
    225,084/495,822 = 495,822/x
  3. Step 3: Cross multiply
    225,084x = 495,822 × 495,822
  4. Step 4: Simplify right side
    225,084x = 245,839,455,684
  5. Step 5: Solve for x
    x = 245,839,455,684/225,084
  6. Step 6: Final answer
    x = 1,092,212.04

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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.