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Finding the Third Proportional to 444,471 and 706,074.50

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Solution

The third proportional to 444,471 and 706,074.50 is: 1,121,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,471 : 706,074.50 = 706,074.50 : x
  2. Step 2: Convert to fraction form
    444,471/706,074.50 = 706,074.50/x
  3. Step 3: Cross multiply
    444,471x = 706,074.50 × 706,074.50
  4. Step 4: Simplify right side
    444,471x = 498,541,199,550.25
  5. Step 5: Solve for x
    x = 498,541,199,550.25/444,471
  6. Step 6: Final answer
    x = 1,121,650.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.