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Finding the Third Proportional to 273,745 and 585,322

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Solution

The third proportional to 273,745 and 585,322 is: 1,251,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,745 : 585,322 = 585,322 : x
  2. Step 2: Convert to fraction form
    273,745/585,322 = 585,322/x
  3. Step 3: Cross multiply
    273,745x = 585,322 × 585,322
  4. Step 4: Simplify right side
    273,745x = 342,601,843,684
  5. Step 5: Solve for x
    x = 342,601,843,684/273,745
  6. Step 6: Final answer
    x = 1,251,536.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.