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Finding the Third Proportional to 517,231.50 and 804,643.50

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Solution

The third proportional to 517,231.50 and 804,643.50 is: 1,251,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,231.50 : 804,643.50 = 804,643.50 : x
  2. Step 2: Convert to fraction form
    517,231.50/804,643.50 = 804,643.50/x
  3. Step 3: Cross multiply
    517,231.50x = 804,643.50 × 804,643.50
  4. Step 4: Simplify right side
    517,231.50x = 647,451,162,092.25
  5. Step 5: Solve for x
    x = 647,451,162,092.25/517,231.50
  6. Step 6: Final answer
    x = 1,251,762.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.