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Finding the Third Proportional to 276,253,651.41 and 414,279,038.53

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Solution

The third proportional to 276,253,651.41 and 414,279,038.53 is: 621,266,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,253,651.41 : 414,279,038.53 = 414,279,038.53 : x
  2. Step 2: Convert to fraction form
    276,253,651.41/414,279,038.53 = 414,279,038.53/x
  3. Step 3: Cross multiply
    276,253,651.41x = 414,279,038.53 × 414,279,038.53
  4. Step 4: Simplify right side
    276,253,651.41x = 171,627,121,766,376,928
  5. Step 5: Solve for x
    x = 171,627,121,766,376,928/276,253,651.41
  6. Step 6: Final answer
    x = 621,266,437.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.