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Finding the Third Proportional to 274.13 and 589.13

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Solution

The third proportional to 274.13 and 589.13 is: 1,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.13 : 589.13 = 589.13 : x
  2. Step 2: Convert to fraction form
    274.13/589.13 = 589.13/x
  3. Step 3: Cross multiply
    274.13x = 589.13 × 589.13
  4. Step 4: Simplify right side
    274.13x = 347,068.27
  5. Step 5: Solve for x
    x = 347,068.27/274.13
  6. Step 6: Final answer
    x = 1,266.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.