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Finding the Third Proportional to 358,505,334 and 771,491,665

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Solution

The third proportional to 358,505,334 and 771,491,665 is: 1,660,224,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,505,334 : 771,491,665 = 771,491,665 : x
  2. Step 2: Convert to fraction form
    358,505,334/771,491,665 = 771,491,665/x
  3. Step 3: Cross multiply
    358,505,334x = 771,491,665 × 771,491,665
  4. Step 4: Simplify right side
    358,505,334x = 595,199,389,164,472,192
  5. Step 5: Solve for x
    x = 595,199,389,164,472,192/358,505,334
  6. Step 6: Final answer
    x = 1,660,224,640.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.