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Finding the Third Proportional to 517,183 and 802,838

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Solution

The third proportional to 517,183 and 802,838 is: 1,246,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,183 : 802,838 = 802,838 : x
  2. Step 2: Convert to fraction form
    517,183/802,838 = 802,838/x
  3. Step 3: Cross multiply
    517,183x = 802,838 × 802,838
  4. Step 4: Simplify right side
    517,183x = 644,548,854,244
  5. Step 5: Solve for x
    x = 644,548,854,244/517,183
  6. Step 6: Final answer
    x = 1,246,268.45

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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.