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Finding the Third Proportional to 210,660 and 450,843

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Solution

The third proportional to 210,660 and 450,843 is: 964,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,660 : 450,843 = 450,843 : x
  2. Step 2: Convert to fraction form
    210,660/450,843 = 450,843/x
  3. Step 3: Cross multiply
    210,660x = 450,843 × 450,843
  4. Step 4: Simplify right side
    210,660x = 203,259,410,649
  5. Step 5: Solve for x
    x = 203,259,410,649/210,660
  6. Step 6: Final answer
    x = 964,869.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.