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Finding the Third Proportional to 550,481 and 775,203

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Solution

The third proportional to 550,481 and 775,203 is: 1,091,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,481 : 775,203 = 775,203 : x
  2. Step 2: Convert to fraction form
    550,481/775,203 = 775,203/x
  3. Step 3: Cross multiply
    550,481x = 775,203 × 775,203
  4. Step 4: Simplify right side
    550,481x = 600,939,691,209
  5. Step 5: Solve for x
    x = 600,939,691,209/550,481
  6. Step 6: Final answer
    x = 1,091,662.91

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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.