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Finding the Third Proportional to 248,777 and 536,866

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Solution

The third proportional to 248,777 and 536,866 is: 1,158,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,777 : 536,866 = 536,866 : x
  2. Step 2: Convert to fraction form
    248,777/536,866 = 536,866/x
  3. Step 3: Cross multiply
    248,777x = 536,866 × 536,866
  4. Step 4: Simplify right side
    248,777x = 288,225,101,956
  5. Step 5: Solve for x
    x = 288,225,101,956/248,777
  6. Step 6: Final answer
    x = 1,158,568.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.