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Finding the Third Proportional to 262,014.75 and 533,658.38

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Solution

The third proportional to 262,014.75 and 533,658.38 is: 1,086,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,014.75 : 533,658.38 = 533,658.38 : x
  2. Step 2: Convert to fraction form
    262,014.75/533,658.38 = 533,658.38/x
  3. Step 3: Cross multiply
    262,014.75x = 533,658.38 × 533,658.38
  4. Step 4: Simplify right side
    262,014.75x = 284,791,261,207.64
  5. Step 5: Solve for x
    x = 284,791,261,207.64/262,014.75
  6. Step 6: Final answer
    x = 1,086,928.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.