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Finding the Third Proportional to 242,794.50 and 533,766

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Solution

The third proportional to 242,794.50 and 533,766 is: 1,173,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,794.50 : 533,766 = 533,766 : x
  2. Step 2: Convert to fraction form
    242,794.50/533,766 = 533,766/x
  3. Step 3: Cross multiply
    242,794.50x = 533,766 × 533,766
  4. Step 4: Simplify right side
    242,794.50x = 284,906,142,756
  5. Step 5: Solve for x
    x = 284,906,142,756/242,794.50
  6. Step 6: Final answer
    x = 1,173,445.62

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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.