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Finding the Third Proportional to 320,259,332 and 699,243,012

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Solution

The third proportional to 320,259,332 and 699,243,012 is: 1,526,702,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,259,332 : 699,243,012 = 699,243,012 : x
  2. Step 2: Convert to fraction form
    320,259,332/699,243,012 = 699,243,012/x
  3. Step 3: Cross multiply
    320,259,332x = 699,243,012 × 699,243,012
  4. Step 4: Simplify right side
    320,259,332x = 488,940,789,830,832,128
  5. Step 5: Solve for x
    x = 488,940,789,830,832,128/320,259,332
  6. Step 6: Final answer
    x = 1,526,702,709.26

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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.