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Finding the Third Proportional to 263,853.56 and 514,583.44

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Solution

The third proportional to 263,853.56 and 514,583.44 is: 1,003,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,853.56 : 514,583.44 = 514,583.44 : x
  2. Step 2: Convert to fraction form
    263,853.56/514,583.44 = 514,583.44/x
  3. Step 3: Cross multiply
    263,853.56x = 514,583.44 × 514,583.44
  4. Step 4: Simplify right side
    263,853.56x = 264,796,114,149.32
  5. Step 5: Solve for x
    x = 264,796,114,149.32/263,853.56
  6. Step 6: Final answer
    x = 1,003,572.25

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.