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Finding the Third Proportional to 280,479,383.44 and 419,149,264.78

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Solution

The third proportional to 280,479,383.44 and 419,149,264.78 is: 626,377,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,479,383.44 : 419,149,264.78 = 419,149,264.78 : x
  2. Step 2: Convert to fraction form
    280,479,383.44/419,149,264.78 = 419,149,264.78/x
  3. Step 3: Cross multiply
    280,479,383.44x = 419,149,264.78 × 419,149,264.78
  4. Step 4: Simplify right side
    280,479,383.44x = 175,686,106,166,662,432
  5. Step 5: Solve for x
    x = 175,686,106,166,662,432/280,479,383.44
  6. Step 6: Final answer
    x = 626,377,967.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.