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Finding the Third Proportional to 444,272 and 705,768

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Solution

The third proportional to 444,272 and 705,768 is: 1,121,179.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,272 : 705,768 = 705,768 : x
  2. Step 2: Convert to fraction form
    444,272/705,768 = 705,768/x
  3. Step 3: Cross multiply
    444,272x = 705,768 × 705,768
  4. Step 4: Simplify right side
    444,272x = 498,108,469,824
  5. Step 5: Solve for x
    x = 498,108,469,824/444,272
  6. Step 6: Final answer
    x = 1,121,179.07

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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.