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Finding the Third Proportional to 267,968 and 426,552

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Solution

The third proportional to 267,968 and 426,552 is: 678,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,968 : 426,552 = 426,552 : x
  2. Step 2: Convert to fraction form
    267,968/426,552 = 426,552/x
  3. Step 3: Cross multiply
    267,968x = 426,552 × 426,552
  4. Step 4: Simplify right side
    267,968x = 181,946,608,704
  5. Step 5: Solve for x
    x = 181,946,608,704/267,968
  6. Step 6: Final answer
    x = 678,986.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.