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Finding the Third Proportional to 458,648 and 694,892

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Solution

The third proportional to 458,648 and 694,892 is: 1,052,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,648 : 694,892 = 694,892 : x
  2. Step 2: Convert to fraction form
    458,648/694,892 = 694,892/x
  3. Step 3: Cross multiply
    458,648x = 694,892 × 694,892
  4. Step 4: Simplify right side
    458,648x = 482,874,891,664
  5. Step 5: Solve for x
    x = 482,874,891,664/458,648
  6. Step 6: Final answer
    x = 1,052,822.41

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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.