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Finding the Third Proportional to 233,783.50 and 504,051

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Solution

The third proportional to 233,783.50 and 504,051 is: 1,086,763.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783.50 : 504,051 = 504,051 : x
  2. Step 2: Convert to fraction form
    233,783.50/504,051 = 504,051/x
  3. Step 3: Cross multiply
    233,783.50x = 504,051 × 504,051
  4. Step 4: Simplify right side
    233,783.50x = 254,067,410,601
  5. Step 5: Solve for x
    x = 254,067,410,601/233,783.50
  6. Step 6: Final answer
    x = 1,086,763.65

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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.