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Finding the Third Proportional to 299,124 and 658,968

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Solution

The third proportional to 299,124 and 658,968 is: 1,451,701.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,124 : 658,968 = 658,968 : x
  2. Step 2: Convert to fraction form
    299,124/658,968 = 658,968/x
  3. Step 3: Cross multiply
    299,124x = 658,968 × 658,968
  4. Step 4: Simplify right side
    299,124x = 434,238,825,024
  5. Step 5: Solve for x
    x = 434,238,825,024/299,124
  6. Step 6: Final answer
    x = 1,451,701.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.