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Finding the Third Proportional to 563,866.31 and 1,239,375.94

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Solution

The third proportional to 563,866.31 and 1,239,375.94 is: 2,724,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,866.31 : 1,239,375.94 = 1,239,375.94 : x
  2. Step 2: Convert to fraction form
    563,866.31/1,239,375.94 = 1,239,375.94/x
  3. Step 3: Cross multiply
    563,866.31x = 1,239,375.94 × 1,239,375.94
  4. Step 4: Simplify right side
    563,866.31x = 1,536,052,714,454.00
  5. Step 5: Solve for x
    x = 1,536,052,714,454.00/563,866.31
  6. Step 6: Final answer
    x = 2,724,143.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.