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Finding the Third Proportional to 271,920 and 589,038

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Solution

The third proportional to 271,920 and 589,038 is: 1,275,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920 : 589,038 = 589,038 : x
  2. Step 2: Convert to fraction form
    271,920/589,038 = 589,038/x
  3. Step 3: Cross multiply
    271,920x = 589,038 × 589,038
  4. Step 4: Simplify right side
    271,920x = 346,965,765,444
  5. Step 5: Solve for x
    x = 346,965,765,444/271,920
  6. Step 6: Final answer
    x = 1,275,984.72

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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.