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Finding the Third Proportional to 233,561.25 and 505,861.03

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Solution

The third proportional to 233,561.25 and 505,861.03 is: 1,095,624.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,561.25 : 505,861.03 = 505,861.03 : x
  2. Step 2: Convert to fraction form
    233,561.25/505,861.03 = 505,861.03/x
  3. Step 3: Cross multiply
    233,561.25x = 505,861.03 × 505,861.03
  4. Step 4: Simplify right side
    233,561.25x = 255,895,382,937.31
  5. Step 5: Solve for x
    x = 255,895,382,937.31/233,561.25
  6. Step 6: Final answer
    x = 1,095,624.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.