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Finding the Third Proportional to 359,867 and 775,092.50

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Solution

The third proportional to 359,867 and 775,092.50 is: 1,669,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,867 : 775,092.50 = 775,092.50 : x
  2. Step 2: Convert to fraction form
    359,867/775,092.50 = 775,092.50/x
  3. Step 3: Cross multiply
    359,867x = 775,092.50 × 775,092.50
  4. Step 4: Simplify right side
    359,867x = 600,768,383,556.25
  5. Step 5: Solve for x
    x = 600,768,383,556.25/359,867
  6. Step 6: Final answer
    x = 1,669,417.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.