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Finding the Third Proportional to 352,572 and 529,635

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Solution

The third proportional to 352,572 and 529,635 is: 795,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,572 : 529,635 = 529,635 : x
  2. Step 2: Convert to fraction form
    352,572/529,635 = 529,635/x
  3. Step 3: Cross multiply
    352,572x = 529,635 × 529,635
  4. Step 4: Simplify right side
    352,572x = 280,513,233,225
  5. Step 5: Solve for x
    x = 280,513,233,225/352,572
  6. Step 6: Final answer
    x = 795,619.71

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