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Finding the Third Proportional to 208,224 and 444,852

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Solution

The third proportional to 208,224 and 444,852 is: 950,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,224 : 444,852 = 444,852 : x
  2. Step 2: Convert to fraction form
    208,224/444,852 = 444,852/x
  3. Step 3: Cross multiply
    208,224x = 444,852 × 444,852
  4. Step 4: Simplify right side
    208,224x = 197,893,301,904
  5. Step 5: Solve for x
    x = 197,893,301,904/208,224
  6. Step 6: Final answer
    x = 950,386.61

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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.