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Finding the Third Proportional to 293,579 and 449,846

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Solution

The third proportional to 293,579 and 449,846 is: 689,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,579 : 449,846 = 449,846 : x
  2. Step 2: Convert to fraction form
    293,579/449,846 = 449,846/x
  3. Step 3: Cross multiply
    293,579x = 449,846 × 449,846
  4. Step 4: Simplify right side
    293,579x = 202,361,423,716
  5. Step 5: Solve for x
    x = 202,361,423,716/293,579
  6. Step 6: Final answer
    x = 689,291.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.