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Finding the Third Proportional to 271,362 and 435,843

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Solution

The third proportional to 271,362 and 435,843 is: 700,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,362 : 435,843 = 435,843 : x
  2. Step 2: Convert to fraction form
    271,362/435,843 = 435,843/x
  3. Step 3: Cross multiply
    271,362x = 435,843 × 435,843
  4. Step 4: Simplify right side
    271,362x = 189,959,120,649
  5. Step 5: Solve for x
    x = 189,959,120,649/271,362
  6. Step 6: Final answer
    x = 700,021.08

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.