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Finding the Third Proportional to 276,253,645.50 and 414,279,029.25

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Solution

The third proportional to 276,253,645.50 and 414,279,029.25 is: 621,266,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,253,645.50 : 414,279,029.25 = 414,279,029.25 : x
  2. Step 2: Convert to fraction form
    276,253,645.50/414,279,029.25 = 414,279,029.25/x
  3. Step 3: Cross multiply
    276,253,645.50x = 414,279,029.25 × 414,279,029.25
  4. Step 4: Simplify right side
    276,253,645.50x = 171,627,114,076,322,368
  5. Step 5: Solve for x
    x = 171,627,114,076,322,368/276,253,645.50
  6. Step 6: Final answer
    x = 621,266,422.62

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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.