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Finding the Third Proportional to 401,324,136.75 and 613,980,994.50

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Solution

The third proportional to 401,324,136.75 and 613,980,994.50 is: 939,322,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,324,136.75 : 613,980,994.50 = 613,980,994.50 : x
  2. Step 2: Convert to fraction form
    401,324,136.75/613,980,994.50 = 613,980,994.50/x
  3. Step 3: Cross multiply
    401,324,136.75x = 613,980,994.50 × 613,980,994.50
  4. Step 4: Simplify right side
    401,324,136.75x = 376,972,661,607,209,024
  5. Step 5: Solve for x
    x = 376,972,661,607,209,024/401,324,136.75
  6. Step 6: Final answer
    x = 939,322,176.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.