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Finding the Third Proportional to 579,987 and 816,760.50

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Solution

The third proportional to 579,987 and 816,760.50 is: 1,150,194.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,987 : 816,760.50 = 816,760.50 : x
  2. Step 2: Convert to fraction form
    579,987/816,760.50 = 816,760.50/x
  3. Step 3: Cross multiply
    579,987x = 816,760.50 × 816,760.50
  4. Step 4: Simplify right side
    579,987x = 667,097,714,360.25
  5. Step 5: Solve for x
    x = 667,097,714,360.25/579,987
  6. Step 6: Final answer
    x = 1,150,194.25

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.