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Finding the Third Proportional to 352,482.75 and 648,375.75

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Solution

The third proportional to 352,482.75 and 648,375.75 is: 1,192,657.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,482.75 : 648,375.75 = 648,375.75 : x
  2. Step 2: Convert to fraction form
    352,482.75/648,375.75 = 648,375.75/x
  3. Step 3: Cross multiply
    352,482.75x = 648,375.75 × 648,375.75
  4. Step 4: Simplify right side
    352,482.75x = 420,391,113,188.06
  5. Step 5: Solve for x
    x = 420,391,113,188.06/352,482.75
  6. Step 6: Final answer
    x = 1,192,657.27

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.