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Finding the Third Proportional to 444,890 and 689,452

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Solution

The third proportional to 444,890 and 689,452 is: 1,068,453.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,890 : 689,452 = 689,452 : x
  2. Step 2: Convert to fraction form
    444,890/689,452 = 689,452/x
  3. Step 3: Cross multiply
    444,890x = 689,452 × 689,452
  4. Step 4: Simplify right side
    444,890x = 475,344,060,304
  5. Step 5: Solve for x
    x = 475,344,060,304/444,890
  6. Step 6: Final answer
    x = 1,068,453.01

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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.