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Finding the Third Proportional to 515,192 and 788,086

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Solution

The third proportional to 515,192 and 788,086 is: 1,205,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,192 : 788,086 = 788,086 : x
  2. Step 2: Convert to fraction form
    515,192/788,086 = 788,086/x
  3. Step 3: Cross multiply
    515,192x = 788,086 × 788,086
  4. Step 4: Simplify right side
    515,192x = 621,079,543,396
  5. Step 5: Solve for x
    x = 621,079,543,396/515,192
  6. Step 6: Final answer
    x = 1,205,530.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.