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Finding the Third Proportional to 349,035,297.75 and 518,608,171.69

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Solution

The third proportional to 349,035,297.75 and 518,608,171.69 is: 770,565,147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,035,297.75 : 518,608,171.69 = 518,608,171.69 : x
  2. Step 2: Convert to fraction form
    349,035,297.75/518,608,171.69 = 518,608,171.69/x
  3. Step 3: Cross multiply
    349,035,297.75x = 518,608,171.69 × 518,608,171.69
  4. Step 4: Simplify right side
    349,035,297.75x = 268,954,435,741,051,488
  5. Step 5: Solve for x
    x = 268,954,435,741,051,488/349,035,297.75
  6. Step 6: Final answer
    x = 770,565,147.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.