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Finding the Third Proportional to 276,969,024 and 599,899,392

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Solution

The third proportional to 276,969,024 and 599,899,392 is: 1,299,348,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,969,024 : 599,899,392 = 599,899,392 : x
  2. Step 2: Convert to fraction form
    276,969,024/599,899,392 = 599,899,392/x
  3. Step 3: Cross multiply
    276,969,024x = 599,899,392 × 599,899,392
  4. Step 4: Simplify right side
    276,969,024x = 359,879,280,521,969,664
  5. Step 5: Solve for x
    x = 359,879,280,521,969,664/276,969,024
  6. Step 6: Final answer
    x = 1,299,348,480.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.