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Finding the Third Proportional to 382,254,568 and 590,280,444

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Solution

The third proportional to 382,254,568 and 590,280,444 is: 911,515,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,254,568 : 590,280,444 = 590,280,444 : x
  2. Step 2: Convert to fraction form
    382,254,568/590,280,444 = 590,280,444/x
  3. Step 3: Cross multiply
    382,254,568x = 590,280,444 × 590,280,444
  4. Step 4: Simplify right side
    382,254,568x = 348,431,002,568,837,120
  5. Step 5: Solve for x
    x = 348,431,002,568,837,120/382,254,568
  6. Step 6: Final answer
    x = 911,515,601.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.