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Finding the Third Proportional to 405,048 and 628,800

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Solution

The third proportional to 405,048 and 628,800 is: 976,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,048 : 628,800 = 628,800 : x
  2. Step 2: Convert to fraction form
    405,048/628,800 = 628,800/x
  3. Step 3: Cross multiply
    405,048x = 628,800 × 628,800
  4. Step 4: Simplify right side
    405,048x = 395,389,440,000
  5. Step 5: Solve for x
    x = 395,389,440,000/405,048
  6. Step 6: Final answer
    x = 976,154.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.