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Finding the Third Proportional to 262,092 and 415,656

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Solution

The third proportional to 262,092 and 415,656 is: 659,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,092 : 415,656 = 415,656 : x
  2. Step 2: Convert to fraction form
    262,092/415,656 = 415,656/x
  3. Step 3: Cross multiply
    262,092x = 415,656 × 415,656
  4. Step 4: Simplify right side
    262,092x = 172,769,910,336
  5. Step 5: Solve for x
    x = 172,769,910,336/262,092
  6. Step 6: Final answer
    x = 659,195.67

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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.