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Finding the Third Proportional to 444,204 and 687,069

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Solution

The third proportional to 444,204 and 687,069 is: 1,062,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,204 : 687,069 = 687,069 : x
  2. Step 2: Convert to fraction form
    444,204/687,069 = 687,069/x
  3. Step 3: Cross multiply
    444,204x = 687,069 × 687,069
  4. Step 4: Simplify right side
    444,204x = 472,063,810,761
  5. Step 5: Solve for x
    x = 472,063,810,761/444,204
  6. Step 6: Final answer
    x = 1,062,718.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.