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Finding the Third Proportional to 328,971,165 and 722,504,505

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Solution

The third proportional to 328,971,165 and 722,504,505 is: 1,586,803,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,971,165 : 722,504,505 = 722,504,505 : x
  2. Step 2: Convert to fraction form
    328,971,165/722,504,505 = 722,504,505/x
  3. Step 3: Cross multiply
    328,971,165x = 722,504,505 × 722,504,505
  4. Step 4: Simplify right side
    328,971,165x = 522,012,759,745,295,040
  5. Step 5: Solve for x
    x = 522,012,759,745,295,040/328,971,165
  6. Step 6: Final answer
    x = 1,586,803,997.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.