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Finding the Third Proportional to 304,149,350.25 and 624,422,425.50

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Solution

The third proportional to 304,149,350.25 and 624,422,425.50 is: 1,281,947,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,149,350.25 : 624,422,425.50 = 624,422,425.50 : x
  2. Step 2: Convert to fraction form
    304,149,350.25/624,422,425.50 = 624,422,425.50/x
  3. Step 3: Cross multiply
    304,149,350.25x = 624,422,425.50 × 624,422,425.50
  4. Step 4: Simplify right side
    304,149,350.25x = 389,903,365,467,303,040
  5. Step 5: Solve for x
    x = 389,903,365,467,303,040/304,149,350.25
  6. Step 6: Final answer
    x = 1,281,947,060.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.