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Finding the Third Proportional to 576,991.69 and 1,255,579.31

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Solution

The third proportional to 576,991.69 and 1,255,579.31 is: 2,732,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,991.69 : 1,255,579.31 = 1,255,579.31 : x
  2. Step 2: Convert to fraction form
    576,991.69/1,255,579.31 = 1,255,579.31/x
  3. Step 3: Cross multiply
    576,991.69x = 1,255,579.31 × 1,255,579.31
  4. Step 4: Simplify right side
    576,991.69x = 1,576,479,409,977.97
  5. Step 5: Solve for x
    x = 1,576,479,409,977.97/576,991.69
  6. Step 6: Final answer
    x = 2,732,239.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.