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Finding the Third Proportional to 675,839.25 and 944,868.38

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Solution

The third proportional to 675,839.25 and 944,868.38 is: 1,320,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,839.25 : 944,868.38 = 944,868.38 : x
  2. Step 2: Convert to fraction form
    675,839.25/944,868.38 = 944,868.38/x
  3. Step 3: Cross multiply
    675,839.25x = 944,868.38 × 944,868.38
  4. Step 4: Simplify right side
    675,839.25x = 892,776,246,075.14
  5. Step 5: Solve for x
    x = 892,776,246,075.14/675,839.25
  6. Step 6: Final answer
    x = 1,320,989.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.