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Finding the Third Proportional to 352,647 and 528,963

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Solution

The third proportional to 352,647 and 528,963 is: 793,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,647 : 528,963 = 528,963 : x
  2. Step 2: Convert to fraction form
    352,647/528,963 = 528,963/x
  3. Step 3: Cross multiply
    352,647x = 528,963 × 528,963
  4. Step 4: Simplify right side
    352,647x = 279,801,855,369
  5. Step 5: Solve for x
    x = 279,801,855,369/352,647
  6. Step 6: Final answer
    x = 793,433.25

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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.