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Finding the Third Proportional to 444,846 and 689,390

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Solution

The third proportional to 444,846 and 689,390 is: 1,068,366.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,846 : 689,390 = 689,390 : x
  2. Step 2: Convert to fraction form
    444,846/689,390 = 689,390/x
  3. Step 3: Cross multiply
    444,846x = 689,390 × 689,390
  4. Step 4: Simplify right side
    444,846x = 475,258,572,100
  5. Step 5: Solve for x
    x = 475,258,572,100/444,846
  6. Step 6: Final answer
    x = 1,068,366.52

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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.