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Finding the Third Proportional to 233,999 and 505,357

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Solution

The third proportional to 233,999 and 505,357 is: 1,091,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,999 : 505,357 = 505,357 : x
  2. Step 2: Convert to fraction form
    233,999/505,357 = 505,357/x
  3. Step 3: Cross multiply
    233,999x = 505,357 × 505,357
  4. Step 4: Simplify right side
    233,999x = 255,385,697,449
  5. Step 5: Solve for x
    x = 255,385,697,449/233,999
  6. Step 6: Final answer
    x = 1,091,396.53

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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.