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Finding the Third Proportional to 233,832 and 505,032

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Solution

The third proportional to 233,832 and 505,032 is: 1,090,771.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,832 : 505,032 = 505,032 : x
  2. Step 2: Convert to fraction form
    233,832/505,032 = 505,032/x
  3. Step 3: Cross multiply
    233,832x = 505,032 × 505,032
  4. Step 4: Simplify right side
    233,832x = 255,057,321,024
  5. Step 5: Solve for x
    x = 255,057,321,024/233,832
  6. Step 6: Final answer
    x = 1,090,771.67

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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.