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Finding the Third Proportional to 206,064 and 446,877

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Solution

The third proportional to 206,064 and 446,877 is: 969,111.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064 : 446,877 = 446,877 : x
  2. Step 2: Convert to fraction form
    206,064/446,877 = 446,877/x
  3. Step 3: Cross multiply
    206,064x = 446,877 × 446,877
  4. Step 4: Simplify right side
    206,064x = 199,699,053,129
  5. Step 5: Solve for x
    x = 199,699,053,129/206,064
  6. Step 6: Final answer
    x = 969,111.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.