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Finding the Third Proportional to 274.64 and 595.16

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Solution

The third proportional to 274.64 and 595.16 is: 1,289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 595.16 = 595.16 : x
  2. Step 2: Convert to fraction form
    274.64/595.16 = 595.16/x
  3. Step 3: Cross multiply
    274.64x = 595.16 × 595.16
  4. Step 4: Simplify right side
    274.64x = 354,215.61
  5. Step 5: Solve for x
    x = 354,215.61/274.64
  6. Step 6: Final answer
    x = 1,289.74

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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.