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Finding the Third Proportional to 218,961 and 478,563

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Solution

The third proportional to 218,961 and 478,563 is: 1,045,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,961 : 478,563 = 478,563 : x
  2. Step 2: Convert to fraction form
    218,961/478,563 = 478,563/x
  3. Step 3: Cross multiply
    218,961x = 478,563 × 478,563
  4. Step 4: Simplify right side
    218,961x = 229,022,544,969
  5. Step 5: Solve for x
    x = 229,022,544,969/218,961
  6. Step 6: Final answer
    x = 1,045,951.31

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Why These Related Problems?

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