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Finding the Third Proportional to 208,642 and 446,806

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Solution

The third proportional to 208,642 and 446,806 is: 956,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,642 : 446,806 = 446,806 : x
  2. Step 2: Convert to fraction form
    208,642/446,806 = 446,806/x
  3. Step 3: Cross multiply
    208,642x = 446,806 × 446,806
  4. Step 4: Simplify right side
    208,642x = 199,635,601,636
  5. Step 5: Solve for x
    x = 199,635,601,636/208,642
  6. Step 6: Final answer
    x = 956,833.24

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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.