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Finding the Third Proportional to 515,844 and 797,094

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Solution

The third proportional to 515,844 and 797,094 is: 1,231,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,844 : 797,094 = 797,094 : x
  2. Step 2: Convert to fraction form
    515,844/797,094 = 797,094/x
  3. Step 3: Cross multiply
    515,844x = 797,094 × 797,094
  4. Step 4: Simplify right side
    515,844x = 635,358,844,836
  5. Step 5: Solve for x
    x = 635,358,844,836/515,844
  6. Step 6: Final answer
    x = 1,231,687.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.