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Finding the Third Proportional to 220,828 and 478,998

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Solution

The third proportional to 220,828 and 478,998 is: 1,038,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,828 : 478,998 = 478,998 : x
  2. Step 2: Convert to fraction form
    220,828/478,998 = 478,998/x
  3. Step 3: Cross multiply
    220,828x = 478,998 × 478,998
  4. Step 4: Simplify right side
    220,828x = 229,439,084,004
  5. Step 5: Solve for x
    x = 229,439,084,004/220,828
  6. Step 6: Final answer
    x = 1,038,994.53

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.