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Finding the Third Proportional to 233,992 and 505,344

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Solution

The third proportional to 233,992 and 505,344 is: 1,091,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,992 : 505,344 = 505,344 : x
  2. Step 2: Convert to fraction form
    233,992/505,344 = 505,344/x
  3. Step 3: Cross multiply
    233,992x = 505,344 × 505,344
  4. Step 4: Simplify right side
    233,992x = 255,372,558,336
  5. Step 5: Solve for x
    x = 255,372,558,336/233,992
  6. Step 6: Final answer
    x = 1,091,373.03

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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.