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Finding the Third Proportional to 301,588.22 and 459,448.83

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Solution

The third proportional to 301,588.22 and 459,448.83 is: 699,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,588.22 : 459,448.83 = 459,448.83 : x
  2. Step 2: Convert to fraction form
    301,588.22/459,448.83 = 459,448.83/x
  3. Step 3: Cross multiply
    301,588.22x = 459,448.83 × 459,448.83
  4. Step 4: Simplify right side
    301,588.22x = 211,093,225,665.44
  5. Step 5: Solve for x
    x = 211,093,225,665.44/301,588.22
  6. Step 6: Final answer
    x = 699,938.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.