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Finding the Third Proportional to 248,431 and 536,201

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Solution

The third proportional to 248,431 and 536,201 is: 1,157,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,431 : 536,201 = 536,201 : x
  2. Step 2: Convert to fraction form
    248,431/536,201 = 536,201/x
  3. Step 3: Cross multiply
    248,431x = 536,201 × 536,201
  4. Step 4: Simplify right side
    248,431x = 287,511,512,401
  5. Step 5: Solve for x
    x = 287,511,512,401/248,431
  6. Step 6: Final answer
    x = 1,157,309.32

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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.