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Finding the Third Proportional to 320,259,305 and 699,242,962

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Solution

The third proportional to 320,259,305 and 699,242,962 is: 1,526,702,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,305 : 699,242,962 = 699,242,962 : x
  2. Step 2: Convert to fraction form
    320,259,305/699,242,962 = 699,242,962/x
  3. Step 3: Cross multiply
    320,259,305x = 699,242,962 × 699,242,962
  4. Step 4: Simplify right side
    320,259,305x = 488,940,719,906,533,440
  5. Step 5: Solve for x
    x = 488,940,719,906,533,440/320,259,305
  6. Step 6: Final answer
    x = 1,526,702,619.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.