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Finding the Third Proportional to 794,649.75 and 1,188,799.50

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Solution

The third proportional to 794,649.75 and 1,188,799.50 is: 1,778,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,649.75 : 1,188,799.50 = 1,188,799.50 : x
  2. Step 2: Convert to fraction form
    794,649.75/1,188,799.50 = 1,188,799.50/x
  3. Step 3: Cross multiply
    794,649.75x = 1,188,799.50 × 1,188,799.50
  4. Step 4: Simplify right side
    794,649.75x = 1,413,244,251,200.25
  5. Step 5: Solve for x
    x = 1,413,244,251,200.25/794,649.75
  6. Step 6: Final answer
    x = 1,778,449.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.