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Finding the Third Proportional to 248,433 and 536,232

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Solution

The third proportional to 248,433 and 536,232 is: 1,157,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,433 : 536,232 = 536,232 : x
  2. Step 2: Convert to fraction form
    248,433/536,232 = 536,232/x
  3. Step 3: Cross multiply
    248,433x = 536,232 × 536,232
  4. Step 4: Simplify right side
    248,433x = 287,544,757,824
  5. Step 5: Solve for x
    x = 287,544,757,824/248,433
  6. Step 6: Final answer
    x = 1,157,433.83

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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.