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Finding the Third Proportional to 444,528 and 670,626

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Solution

The third proportional to 444,528 and 670,626 is: 1,011,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,528 : 670,626 = 670,626 : x
  2. Step 2: Convert to fraction form
    444,528/670,626 = 670,626/x
  3. Step 3: Cross multiply
    444,528x = 670,626 × 670,626
  4. Step 4: Simplify right side
    444,528x = 449,739,231,876
  5. Step 5: Solve for x
    x = 449,739,231,876/444,528
  6. Step 6: Final answer
    x = 1,011,723.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.