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Finding the Third Proportional to 515,991 and 796,990.50

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Solution

The third proportional to 515,991 and 796,990.50 is: 1,231,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,991 : 796,990.50 = 796,990.50 : x
  2. Step 2: Convert to fraction form
    515,991/796,990.50 = 796,990.50/x
  3. Step 3: Cross multiply
    515,991x = 796,990.50 × 796,990.50
  4. Step 4: Simplify right side
    515,991x = 635,193,857,090.25
  5. Step 5: Solve for x
    x = 635,193,857,090.25/515,991
  6. Step 6: Final answer
    x = 1,231,017.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.