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Finding the Third Proportional to 248,477 and 536,296

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Solution

The third proportional to 248,477 and 536,296 is: 1,157,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,477 : 536,296 = 536,296 : x
  2. Step 2: Convert to fraction form
    248,477/536,296 = 536,296/x
  3. Step 3: Cross multiply
    248,477x = 536,296 × 536,296
  4. Step 4: Simplify right side
    248,477x = 287,613,399,616
  5. Step 5: Solve for x
    x = 287,613,399,616/248,477
  6. Step 6: Final answer
    x = 1,157,505.12

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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.