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Finding the Third Proportional to 515,916 and 797,202

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Solution

The third proportional to 515,916 and 797,202 is: 1,231,849.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,916 : 797,202 = 797,202 : x
  2. Step 2: Convert to fraction form
    515,916/797,202 = 797,202/x
  3. Step 3: Cross multiply
    515,916x = 797,202 × 797,202
  4. Step 4: Simplify right side
    515,916x = 635,531,028,804
  5. Step 5: Solve for x
    x = 635,531,028,804/515,916
  6. Step 6: Final answer
    x = 1,231,849.81

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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.