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Finding the Third Proportional to 293,575.22 and 449,839.83

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Solution

The third proportional to 293,575.22 and 449,839.83 is: 689,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,575.22 : 449,839.83 = 449,839.83 : x
  2. Step 2: Convert to fraction form
    293,575.22/449,839.83 = 449,839.83/x
  3. Step 3: Cross multiply
    293,575.22x = 449,839.83 × 449,839.83
  4. Step 4: Simplify right side
    293,575.22x = 202,355,870,967.53
  5. Step 5: Solve for x
    x = 202,355,870,967.53/293,575.22
  6. Step 6: Final answer
    x = 689,281.17

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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.