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Finding the Third Proportional to 220,978 and 483,752

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Solution

The third proportional to 220,978 and 483,752 is: 1,059,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978 : 483,752 = 483,752 : x
  2. Step 2: Convert to fraction form
    220,978/483,752 = 483,752/x
  3. Step 3: Cross multiply
    220,978x = 483,752 × 483,752
  4. Step 4: Simplify right side
    220,978x = 234,015,997,504
  5. Step 5: Solve for x
    x = 234,015,997,504/220,978
  6. Step 6: Final answer
    x = 1,059,001.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.