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Finding the Third Proportional to 444,474 and 706,078.50

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Solution

The third proportional to 444,474 and 706,078.50 is: 1,121,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,474 : 706,078.50 = 706,078.50 : x
  2. Step 2: Convert to fraction form
    444,474/706,078.50 = 706,078.50/x
  3. Step 3: Cross multiply
    444,474x = 706,078.50 × 706,078.50
  4. Step 4: Simplify right side
    444,474x = 498,546,848,162.25
  5. Step 5: Solve for x
    x = 498,546,848,162.25/444,474
  6. Step 6: Final answer
    x = 1,121,655.82

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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.