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Finding the Third Proportional to 279,341,344 and 566,647,760

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Solution

The third proportional to 279,341,344 and 566,647,760 is: 1,149,452,778.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,341,344 : 566,647,760 = 566,647,760 : x
  2. Step 2: Convert to fraction form
    279,341,344/566,647,760 = 566,647,760/x
  3. Step 3: Cross multiply
    279,341,344x = 566,647,760 × 566,647,760
  4. Step 4: Simplify right side
    279,341,344x = 321,089,683,913,017,600
  5. Step 5: Solve for x
    x = 321,089,683,913,017,600/279,341,344
  6. Step 6: Final answer
    x = 1,149,452,778.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.