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Finding the Third Proportional to 248,264 and 531,519

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Solution

The third proportional to 248,264 and 531,519 is: 1,137,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,264 : 531,519 = 531,519 : x
  2. Step 2: Convert to fraction form
    248,264/531,519 = 531,519/x
  3. Step 3: Cross multiply
    248,264x = 531,519 × 531,519
  4. Step 4: Simplify right side
    248,264x = 282,512,447,361
  5. Step 5: Solve for x
    x = 282,512,447,361/248,264
  6. Step 6: Final answer
    x = 1,137,951.73

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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.