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Finding the Third Proportional to 350,826 and 529,396.50

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Solution

The third proportional to 350,826 and 529,396.50 is: 798,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,826 : 529,396.50 = 529,396.50 : x
  2. Step 2: Convert to fraction form
    350,826/529,396.50 = 529,396.50/x
  3. Step 3: Cross multiply
    350,826x = 529,396.50 × 529,396.50
  4. Step 4: Simplify right side
    350,826x = 280,260,654,212.25
  5. Step 5: Solve for x
    x = 280,260,654,212.25/350,826
  6. Step 6: Final answer
    x = 798,859.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.