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Finding the Third Proportional to 517,224 and 802,744

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Solution

The third proportional to 517,224 and 802,744 is: 1,245,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,224 : 802,744 = 802,744 : x
  2. Step 2: Convert to fraction form
    517,224/802,744 = 802,744/x
  3. Step 3: Cross multiply
    517,224x = 802,744 × 802,744
  4. Step 4: Simplify right side
    517,224x = 644,397,929,536
  5. Step 5: Solve for x
    x = 644,397,929,536/517,224
  6. Step 6: Final answer
    x = 1,245,877.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.