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Finding the Third Proportional to 248,682 and 536,676

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Solution

The third proportional to 248,682 and 536,676 is: 1,158,190.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,682 : 536,676 = 536,676 : x
  2. Step 2: Convert to fraction form
    248,682/536,676 = 536,676/x
  3. Step 3: Cross multiply
    248,682x = 536,676 × 536,676
  4. Step 4: Simplify right side
    248,682x = 288,021,128,976
  5. Step 5: Solve for x
    x = 288,021,128,976/248,682
  6. Step 6: Final answer
    x = 1,158,190.50

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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.