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Finding the Third Proportional to 228,920 and 495,975

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Solution

The third proportional to 228,920 and 495,975 is: 1,074,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,920 : 495,975 = 495,975 : x
  2. Step 2: Convert to fraction form
    228,920/495,975 = 495,975/x
  3. Step 3: Cross multiply
    228,920x = 495,975 × 495,975
  4. Step 4: Simplify right side
    228,920x = 245,991,200,625
  5. Step 5: Solve for x
    x = 245,991,200,625/228,920
  6. Step 6: Final answer
    x = 1,074,572.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.