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Finding the Third Proportional to 208,721 and 446,957

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Solution

The third proportional to 208,721 and 446,957 is: 957,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,721 : 446,957 = 446,957 : x
  2. Step 2: Convert to fraction form
    208,721/446,957 = 446,957/x
  3. Step 3: Cross multiply
    208,721x = 446,957 × 446,957
  4. Step 4: Simplify right side
    208,721x = 199,770,559,849
  5. Step 5: Solve for x
    x = 199,770,559,849/208,721
  6. Step 6: Final answer
    x = 957,117.68

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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.