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Finding the Third Proportional to 444,472 and 706,075

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Solution

The third proportional to 444,472 and 706,075 is: 1,121,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,472 : 706,075 = 706,075 : x
  2. Step 2: Convert to fraction form
    444,472/706,075 = 706,075/x
  3. Step 3: Cross multiply
    444,472x = 706,075 × 706,075
  4. Step 4: Simplify right side
    444,472x = 498,541,905,625
  5. Step 5: Solve for x
    x = 498,541,905,625/444,472
  6. Step 6: Final answer
    x = 1,121,649.75

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Why These Related Problems?

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