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Finding the Third Proportional to 208,737 and 446,987

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Solution

The third proportional to 208,737 and 446,987 is: 957,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,737 : 446,987 = 446,987 : x
  2. Step 2: Convert to fraction form
    208,737/446,987 = 446,987/x
  3. Step 3: Cross multiply
    208,737x = 446,987 × 446,987
  4. Step 4: Simplify right side
    208,737x = 199,797,378,169
  5. Step 5: Solve for x
    x = 199,797,378,169/208,737
  6. Step 6: Final answer
    x = 957,172.80

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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.