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Finding the Third Proportional to 458,601 and 694,827

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Solution

The third proportional to 458,601 and 694,827 is: 1,052,733.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,601 : 694,827 = 694,827 : x
  2. Step 2: Convert to fraction form
    458,601/694,827 = 694,827/x
  3. Step 3: Cross multiply
    458,601x = 694,827 × 694,827
  4. Step 4: Simplify right side
    458,601x = 482,784,559,929
  5. Step 5: Solve for x
    x = 482,784,559,929/458,601
  6. Step 6: Final answer
    x = 1,052,733.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.