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Finding the Third Proportional to 458,604 and 694,830

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Solution

The third proportional to 458,604 and 694,830 is: 1,052,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,604 : 694,830 = 694,830 : x
  2. Step 2: Convert to fraction form
    458,604/694,830 = 694,830/x
  3. Step 3: Cross multiply
    458,604x = 694,830 × 694,830
  4. Step 4: Simplify right side
    458,604x = 482,788,728,900
  5. Step 5: Solve for x
    x = 482,788,728,900/458,604
  6. Step 6: Final answer
    x = 1,052,735.54

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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.