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Finding the Third Proportional to 550,422 and 775,125

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Solution

The third proportional to 550,422 and 775,125 is: 1,091,560.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,422 : 775,125 = 775,125 : x
  2. Step 2: Convert to fraction form
    550,422/775,125 = 775,125/x
  3. Step 3: Cross multiply
    550,422x = 775,125 × 775,125
  4. Step 4: Simplify right side
    550,422x = 600,818,765,625
  5. Step 5: Solve for x
    x = 600,818,765,625/550,422
  6. Step 6: Final answer
    x = 1,091,560.23

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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.