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Finding the Third Proportional to 299,425.50 and 440,385.75

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Solution

The third proportional to 299,425.50 and 440,385.75 is: 647,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,425.50 : 440,385.75 = 440,385.75 : x
  2. Step 2: Convert to fraction form
    299,425.50/440,385.75 = 440,385.75/x
  3. Step 3: Cross multiply
    299,425.50x = 440,385.75 × 440,385.75
  4. Step 4: Simplify right side
    299,425.50x = 193,939,608,803.06
  5. Step 5: Solve for x
    x = 193,939,608,803.06/299,425.50
  6. Step 6: Final answer
    x = 647,705.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.