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Finding the Third Proportional to 264,282,469 and 396,240,298

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Solution

The third proportional to 264,282,469 and 396,240,298 is: 594,085,466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,282,469 : 396,240,298 = 396,240,298 : x
  2. Step 2: Convert to fraction form
    264,282,469/396,240,298 = 396,240,298/x
  3. Step 3: Cross multiply
    264,282,469x = 396,240,298 × 396,240,298
  4. Step 4: Simplify right side
    264,282,469x = 157,006,373,759,128,800
  5. Step 5: Solve for x
    x = 157,006,373,759,128,800/264,282,469
  6. Step 6: Final answer
    x = 594,085,466.03

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