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Finding the Third Proportional to 271,818 and 552,657

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Solution

The third proportional to 271,818 and 552,657 is: 1,123,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818 : 552,657 = 552,657 : x
  2. Step 2: Convert to fraction form
    271,818/552,657 = 552,657/x
  3. Step 3: Cross multiply
    271,818x = 552,657 × 552,657
  4. Step 4: Simplify right side
    271,818x = 305,429,759,649
  5. Step 5: Solve for x
    x = 305,429,759,649/271,818
  6. Step 6: Final answer
    x = 1,123,655.39

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.