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Finding the Third Proportional to 292,608 and 628,863.75

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Solution

The third proportional to 292,608 and 628,863.75 is: 1,351,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,608 : 628,863.75 = 628,863.75 : x
  2. Step 2: Convert to fraction form
    292,608/628,863.75 = 628,863.75/x
  3. Step 3: Cross multiply
    292,608x = 628,863.75 × 628,863.75
  4. Step 4: Simplify right side
    292,608x = 395,469,616,064.06
  5. Step 5: Solve for x
    x = 395,469,616,064.06/292,608
  6. Step 6: Final answer
    x = 1,351,533.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.