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Finding the Third Proportional to 271,919 and 589,036

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Solution

The third proportional to 271,919 and 589,036 is: 1,275,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,919 : 589,036 = 589,036 : x
  2. Step 2: Convert to fraction form
    271,919/589,036 = 589,036/x
  3. Step 3: Cross multiply
    271,919x = 589,036 × 589,036
  4. Step 4: Simplify right side
    271,919x = 346,963,409,296
  5. Step 5: Solve for x
    x = 346,963,409,296/271,919
  6. Step 6: Final answer
    x = 1,275,980.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.