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Finding the Third Proportional to 517,296.38 and 807,375.94

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Solution

The third proportional to 517,296.38 and 807,375.94 is: 1,260,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,296.38 : 807,375.94 = 807,375.94 : x
  2. Step 2: Convert to fraction form
    517,296.38/807,375.94 = 807,375.94/x
  3. Step 3: Cross multiply
    517,296.38x = 807,375.94 × 807,375.94
  4. Step 4: Simplify right side
    517,296.38x = 651,855,904,454.00
  5. Step 5: Solve for x
    x = 651,855,904,454.00/517,296.38
  6. Step 6: Final answer
    x = 1,260,120.77

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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.