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Finding the Third Proportional to 481,104 and 683,848

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Solution

The third proportional to 481,104 and 683,848 is: 972,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,104 : 683,848 = 683,848 : x
  2. Step 2: Convert to fraction form
    481,104/683,848 = 683,848/x
  3. Step 3: Cross multiply
    481,104x = 683,848 × 683,848
  4. Step 4: Simplify right side
    481,104x = 467,648,087,104
  5. Step 5: Solve for x
    x = 467,648,087,104/481,104
  6. Step 6: Final answer
    x = 972,031.18

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.