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Finding the Third Proportional to 414,954 and 658,723

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Solution

The third proportional to 414,954 and 658,723 is: 1,045,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,954 : 658,723 = 658,723 : x
  2. Step 2: Convert to fraction form
    414,954/658,723 = 658,723/x
  3. Step 3: Cross multiply
    414,954x = 658,723 × 658,723
  4. Step 4: Simplify right side
    414,954x = 433,915,990,729
  5. Step 5: Solve for x
    x = 433,915,990,729/414,954
  6. Step 6: Final answer
    x = 1,045,696.61

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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.