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Finding the Third Proportional to 273,165 and 413,556

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Solution

The third proportional to 273,165 and 413,556 is: 626,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,165 : 413,556 = 413,556 : x
  2. Step 2: Convert to fraction form
    273,165/413,556 = 413,556/x
  3. Step 3: Cross multiply
    273,165x = 413,556 × 413,556
  4. Step 4: Simplify right side
    273,165x = 171,028,565,136
  5. Step 5: Solve for x
    x = 171,028,565,136/273,165
  6. Step 6: Final answer
    x = 626,099.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.