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Finding the Third Proportional to 550,502 and 775,233

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Solution

The third proportional to 550,502 and 775,233 is: 1,091,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,502 : 775,233 = 775,233 : x
  2. Step 2: Convert to fraction form
    550,502/775,233 = 775,233/x
  3. Step 3: Cross multiply
    550,502x = 775,233 × 775,233
  4. Step 4: Simplify right side
    550,502x = 600,986,204,289
  5. Step 5: Solve for x
    x = 600,986,204,289/550,502
  6. Step 6: Final answer
    x = 1,091,705.76

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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.