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Finding the Third Proportional to 242,794 and 533,764

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Solution

The third proportional to 242,794 and 533,764 is: 1,173,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,794 : 533,764 = 533,764 : x
  2. Step 2: Convert to fraction form
    242,794/533,764 = 533,764/x
  3. Step 3: Cross multiply
    242,794x = 533,764 × 533,764
  4. Step 4: Simplify right side
    242,794x = 284,904,007,696
  5. Step 5: Solve for x
    x = 284,904,007,696/242,794
  6. Step 6: Final answer
    x = 1,173,439.24

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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.