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Finding the Third Proportional to 248,682 and 532,266

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Solution

The third proportional to 248,682 and 532,266 is: 1,139,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,682 : 532,266 = 532,266 : x
  2. Step 2: Convert to fraction form
    248,682/532,266 = 532,266/x
  3. Step 3: Cross multiply
    248,682x = 532,266 × 532,266
  4. Step 4: Simplify right side
    248,682x = 283,307,094,756
  5. Step 5: Solve for x
    x = 283,307,094,756/248,682
  6. Step 6: Final answer
    x = 1,139,234.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.