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Finding the Third Proportional to 221,988 and 488,168

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Solution

The third proportional to 221,988 and 488,168 is: 1,073,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,988 : 488,168 = 488,168 : x
  2. Step 2: Convert to fraction form
    221,988/488,168 = 488,168/x
  3. Step 3: Cross multiply
    221,988x = 488,168 × 488,168
  4. Step 4: Simplify right side
    221,988x = 238,307,996,224
  5. Step 5: Solve for x
    x = 238,307,996,224/221,988
  6. Step 6: Final answer
    x = 1,073,517.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.