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Finding the Third Proportional to 550,508 and 775,242

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Solution

The third proportional to 550,508 and 775,242 is: 1,091,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,508 : 775,242 = 775,242 : x
  2. Step 2: Convert to fraction form
    550,508/775,242 = 775,242/x
  3. Step 3: Cross multiply
    550,508x = 775,242 × 775,242
  4. Step 4: Simplify right side
    550,508x = 601,000,158,564
  5. Step 5: Solve for x
    x = 601,000,158,564/550,508
  6. Step 6: Final answer
    x = 1,091,719.21

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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.