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Finding the Third Proportional to 277,259,634 and 396,453,856.50

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Solution

The third proportional to 277,259,634 and 396,453,856.50 is: 566,889,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,259,634 : 396,453,856.50 = 396,453,856.50 : x
  2. Step 2: Convert to fraction form
    277,259,634/396,453,856.50 = 396,453,856.50/x
  3. Step 3: Cross multiply
    277,259,634x = 396,453,856.50 × 396,453,856.50
  4. Step 4: Simplify right side
    277,259,634x = 157,175,660,333,722,592
  5. Step 5: Solve for x
    x = 157,175,660,333,722,592/277,259,634
  6. Step 6: Final answer
    x = 566,889,806.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.