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Finding the Third Proportional to 550,646 and 775,442

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Solution

The third proportional to 550,646 and 775,442 is: 1,092,008.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,646 : 775,442 = 775,442 : x
  2. Step 2: Convert to fraction form
    550,646/775,442 = 775,442/x
  3. Step 3: Cross multiply
    550,646x = 775,442 × 775,442
  4. Step 4: Simplify right side
    550,646x = 601,310,295,364
  5. Step 5: Solve for x
    x = 601,310,295,364/550,646
  6. Step 6: Final answer
    x = 1,092,008.83

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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.