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Finding the Third Proportional to 314,626,041 and 437,462,361.38

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Solution

The third proportional to 314,626,041 and 437,462,361.38 is: 608,256,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,626,041 : 437,462,361.38 = 437,462,361.38 : x
  2. Step 2: Convert to fraction form
    314,626,041/437,462,361.38 = 437,462,361.38/x
  3. Step 3: Cross multiply
    314,626,041x = 437,462,361.38 × 437,462,361.38
  4. Step 4: Simplify right side
    314,626,041x = 191,373,317,619,791,104
  5. Step 5: Solve for x
    x = 191,373,317,619,791,104/314,626,041
  6. Step 6: Final answer
    x = 608,256,446.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.