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Finding the Third Proportional to 352,635.75 and 529,744.50

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Solution

The third proportional to 352,635.75 and 529,744.50 is: 795,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,635.75 : 529,744.50 = 529,744.50 : x
  2. Step 2: Convert to fraction form
    352,635.75/529,744.50 = 529,744.50/x
  3. Step 3: Cross multiply
    352,635.75x = 529,744.50 × 529,744.50
  4. Step 4: Simplify right side
    352,635.75x = 280,629,235,280.25
  5. Step 5: Solve for x
    x = 280,629,235,280.25/352,635.75
  6. Step 6: Final answer
    x = 795,804.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.