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Finding the Third Proportional to 294,228,192 and 624,321,024

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Solution

The third proportional to 294,228,192 and 624,321,024 is: 1,324,743,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,228,192 : 624,321,024 = 624,321,024 : x
  2. Step 2: Convert to fraction form
    294,228,192/624,321,024 = 624,321,024/x
  3. Step 3: Cross multiply
    294,228,192x = 624,321,024 × 624,321,024
  4. Step 4: Simplify right side
    294,228,192x = 389,776,741,008,408,576
  5. Step 5: Solve for x
    x = 389,776,741,008,408,576/294,228,192
  6. Step 6: Final answer
    x = 1,324,743,011.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.