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Finding the Third Proportional to 273,241,306 and 419,728,570

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Solution

The third proportional to 273,241,306 and 419,728,570 is: 644,749,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,241,306 : 419,728,570 = 419,728,570 : x
  2. Step 2: Convert to fraction form
    273,241,306/419,728,570 = 419,728,570/x
  3. Step 3: Cross multiply
    273,241,306x = 419,728,570 × 419,728,570
  4. Step 4: Simplify right side
    273,241,306x = 176,172,072,474,244,896
  5. Step 5: Solve for x
    x = 176,172,072,474,244,896/273,241,306
  6. Step 6: Final answer
    x = 644,749,050.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.