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Finding the Third Proportional to 248,269 and 531,529

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Solution

The third proportional to 248,269 and 531,529 is: 1,137,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,269 : 531,529 = 531,529 : x
  2. Step 2: Convert to fraction form
    248,269/531,529 = 531,529/x
  3. Step 3: Cross multiply
    248,269x = 531,529 × 531,529
  4. Step 4: Simplify right side
    248,269x = 282,523,077,841
  5. Step 5: Solve for x
    x = 282,523,077,841/248,269
  6. Step 6: Final answer
    x = 1,137,971.63

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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.