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Finding the Third Proportional to 550,416 and 775,107

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Solution

The third proportional to 550,416 and 775,107 is: 1,091,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,416 : 775,107 = 775,107 : x
  2. Step 2: Convert to fraction form
    550,416/775,107 = 775,107/x
  3. Step 3: Cross multiply
    550,416x = 775,107 × 775,107
  4. Step 4: Simplify right side
    550,416x = 600,790,861,449
  5. Step 5: Solve for x
    x = 600,790,861,449/550,416
  6. Step 6: Final answer
    x = 1,091,521.43

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.