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Finding the Third Proportional to 267,710 and 497,116

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Solution

The third proportional to 267,710 and 497,116 is: 923,104.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,710 : 497,116 = 497,116 : x
  2. Step 2: Convert to fraction form
    267,710/497,116 = 497,116/x
  3. Step 3: Cross multiply
    267,710x = 497,116 × 497,116
  4. Step 4: Simplify right side
    267,710x = 247,124,317,456
  5. Step 5: Solve for x
    x = 247,124,317,456/267,710
  6. Step 6: Final answer
    x = 923,104.54

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.