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Finding the Third Proportional to 444,453.75 and 706,046.63

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Solution

The third proportional to 444,453.75 and 706,046.63 is: 1,121,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,453.75 : 706,046.63 = 706,046.63 : x
  2. Step 2: Convert to fraction form
    444,453.75/706,046.63 = 706,046.63/x
  3. Step 3: Cross multiply
    444,453.75x = 706,046.63 × 706,046.63
  4. Step 4: Simplify right side
    444,453.75x = 498,501,836,673.89
  5. Step 5: Solve for x
    x = 498,501,836,673.89/444,453.75
  6. Step 6: Final answer
    x = 1,121,605.65

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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.