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Finding the Third Proportional to 248,410 and 531,812

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Solution

The third proportional to 248,410 and 531,812 is: 1,138,537.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,410 : 531,812 = 531,812 : x
  2. Step 2: Convert to fraction form
    248,410/531,812 = 531,812/x
  3. Step 3: Cross multiply
    248,410x = 531,812 × 531,812
  4. Step 4: Simplify right side
    248,410x = 282,824,003,344
  5. Step 5: Solve for x
    x = 282,824,003,344/248,410
  6. Step 6: Final answer
    x = 1,138,537.11

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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.