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Finding the Third Proportional to 259,322,562 and 566,035,620

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Solution

The third proportional to 259,322,562 and 566,035,620 is: 1,235,512,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,322,562 : 566,035,620 = 566,035,620 : x
  2. Step 2: Convert to fraction form
    259,322,562/566,035,620 = 566,035,620/x
  3. Step 3: Cross multiply
    259,322,562x = 566,035,620 × 566,035,620
  4. Step 4: Simplify right side
    259,322,562x = 320,396,323,108,784,384
  5. Step 5: Solve for x
    x = 320,396,323,108,784,384/259,322,562
  6. Step 6: Final answer
    x = 1,235,512,716.82

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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.