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Finding the Third Proportional to 444,240 and 706,544

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Solution

The third proportional to 444,240 and 706,544 is: 1,123,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,240 : 706,544 = 706,544 : x
  2. Step 2: Convert to fraction form
    444,240/706,544 = 706,544/x
  3. Step 3: Cross multiply
    444,240x = 706,544 × 706,544
  4. Step 4: Simplify right side
    444,240x = 499,204,423,936
  5. Step 5: Solve for x
    x = 499,204,423,936/444,240
  6. Step 6: Final answer
    x = 1,123,726.87

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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.