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Finding the Third Proportional to 301,575.45 and 459,438.33

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Solution

The third proportional to 301,575.45 and 459,438.33 is: 699,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,575.45 : 459,438.33 = 459,438.33 : x
  2. Step 2: Convert to fraction form
    301,575.45/459,438.33 = 459,438.33/x
  3. Step 3: Cross multiply
    301,575.45x = 459,438.33 × 459,438.33
  4. Step 4: Simplify right side
    301,575.45x = 211,083,577,350.30
  5. Step 5: Solve for x
    x = 211,083,577,350.30/301,575.45
  6. Step 6: Final answer
    x = 699,936.22

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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.