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Finding the Third Proportional to 223,616 and 488,704

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Solution

The third proportional to 223,616 and 488,704 is: 1,068,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,616 : 488,704 = 488,704 : x
  2. Step 2: Convert to fraction form
    223,616/488,704 = 488,704/x
  3. Step 3: Cross multiply
    223,616x = 488,704 × 488,704
  4. Step 4: Simplify right side
    223,616x = 238,831,599,616
  5. Step 5: Solve for x
    x = 238,831,599,616/223,616
  6. Step 6: Final answer
    x = 1,068,043.43

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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.