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Finding the Third Proportional to 301,134.75 and 440,385.75

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Solution

The third proportional to 301,134.75 and 440,385.75 is: 644,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,134.75 : 440,385.75 = 440,385.75 : x
  2. Step 2: Convert to fraction form
    301,134.75/440,385.75 = 440,385.75/x
  3. Step 3: Cross multiply
    301,134.75x = 440,385.75 × 440,385.75
  4. Step 4: Simplify right side
    301,134.75x = 193,939,608,803.06
  5. Step 5: Solve for x
    x = 193,939,608,803.06/301,134.75
  6. Step 6: Final answer
    x = 644,029.32

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.