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Finding the Third Proportional to 233,302 and 491,505

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Solution

The third proportional to 233,302 and 491,505 is: 1,035,469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,302 : 491,505 = 491,505 : x
  2. Step 2: Convert to fraction form
    233,302/491,505 = 491,505/x
  3. Step 3: Cross multiply
    233,302x = 491,505 × 491,505
  4. Step 4: Simplify right side
    233,302x = 241,577,165,025
  5. Step 5: Solve for x
    x = 241,577,165,025/233,302
  6. Step 6: Final answer
    x = 1,035,469.76

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.