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Finding the Third Proportional to 192,582 and 449,964

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Solution

The third proportional to 192,582 and 449,964 is: 1,051,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,582 : 449,964 = 449,964 : x
  2. Step 2: Convert to fraction form
    192,582/449,964 = 449,964/x
  3. Step 3: Cross multiply
    192,582x = 449,964 × 449,964
  4. Step 4: Simplify right side
    192,582x = 202,467,601,296
  5. Step 5: Solve for x
    x = 202,467,601,296/192,582
  6. Step 6: Final answer
    x = 1,051,331.91

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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.