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Finding the Third Proportional to 263,493 and 566,959.50

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Solution

The third proportional to 263,493 and 566,959.50 is: 1,219,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,493 : 566,959.50 = 566,959.50 : x
  2. Step 2: Convert to fraction form
    263,493/566,959.50 = 566,959.50/x
  3. Step 3: Cross multiply
    263,493x = 566,959.50 × 566,959.50
  4. Step 4: Simplify right side
    263,493x = 321,443,074,640.25
  5. Step 5: Solve for x
    x = 321,443,074,640.25/263,493
  6. Step 6: Final answer
    x = 1,219,930.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.