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Finding the Third Proportional to 192,522 and 449,816

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Solution

The third proportional to 192,522 and 449,816 is: 1,050,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,522 : 449,816 = 449,816 : x
  2. Step 2: Convert to fraction form
    192,522/449,816 = 449,816/x
  3. Step 3: Cross multiply
    192,522x = 449,816 × 449,816
  4. Step 4: Simplify right side
    192,522x = 202,334,433,856
  5. Step 5: Solve for x
    x = 202,334,433,856/192,522
  6. Step 6: Final answer
    x = 1,050,967.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.