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Finding the Third Proportional to 458,608.50 and 694,838.25

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Solution

The third proportional to 458,608.50 and 694,838.25 is: 1,052,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,608.50 : 694,838.25 = 694,838.25 : x
  2. Step 2: Convert to fraction form
    458,608.50/694,838.25 = 694,838.25/x
  3. Step 3: Cross multiply
    458,608.50x = 694,838.25 × 694,838.25
  4. Step 4: Simplify right side
    458,608.50x = 482,800,193,663.06
  5. Step 5: Solve for x
    x = 482,800,193,663.06/458,608.50
  6. Step 6: Final answer
    x = 1,052,750.21

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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.