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Finding the Third Proportional to 221,984 and 488,160

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Solution

The third proportional to 221,984 and 488,160 is: 1,073,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,984 : 488,160 = 488,160 : x
  2. Step 2: Convert to fraction form
    221,984/488,160 = 488,160/x
  3. Step 3: Cross multiply
    221,984x = 488,160 × 488,160
  4. Step 4: Simplify right side
    221,984x = 238,300,185,600
  5. Step 5: Solve for x
    x = 238,300,185,600/221,984
  6. Step 6: Final answer
    x = 1,073,501.63

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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.