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Finding the Third Proportional to 414,974 and 658,749

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Solution

The third proportional to 414,974 and 658,749 is: 1,045,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,974 : 658,749 = 658,749 : x
  2. Step 2: Convert to fraction form
    414,974/658,749 = 658,749/x
  3. Step 3: Cross multiply
    414,974x = 658,749 × 658,749
  4. Step 4: Simplify right side
    414,974x = 433,950,245,001
  5. Step 5: Solve for x
    x = 433,950,245,001/414,974
  6. Step 6: Final answer
    x = 1,045,728.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.