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Finding the Third Proportional to 516,069 and 797,107.50

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Solution

The third proportional to 516,069 and 797,107.50 is: 1,231,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,069 : 797,107.50 = 797,107.50 : x
  2. Step 2: Convert to fraction form
    516,069/797,107.50 = 797,107.50/x
  3. Step 3: Cross multiply
    516,069x = 797,107.50 × 797,107.50
  4. Step 4: Simplify right side
    516,069x = 635,380,366,556.25
  5. Step 5: Solve for x
    x = 635,380,366,556.25/516,069
  6. Step 6: Final answer
    x = 1,231,192.66

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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.