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Finding the Third Proportional to 233,986.22 and 505,333.69

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Solution

The third proportional to 233,986.22 and 505,333.69 is: 1,091,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,986.22 : 505,333.69 = 505,333.69 : x
  2. Step 2: Convert to fraction form
    233,986.22/505,333.69 = 505,333.69/x
  3. Step 3: Cross multiply
    233,986.22x = 505,333.69 × 505,333.69
  4. Step 4: Simplify right side
    233,986.22x = 255,362,135,722.35
  5. Step 5: Solve for x
    x = 255,362,135,722.35/233,986.22
  6. Step 6: Final answer
    x = 1,091,355.45

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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.