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Finding the Third Proportional to 585.98 and 1,274.48

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Solution

The third proportional to 585.98 and 1,274.48 is: 2,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 1,274.48 = 1,274.48 : x
  2. Step 2: Convert to fraction form
    585.98/1,274.48 = 1,274.48/x
  3. Step 3: Cross multiply
    585.98x = 1,274.48 × 1,274.48
  4. Step 4: Simplify right side
    585.98x = 1,624,310.42
  5. Step 5: Solve for x
    x = 1,624,310.42/585.98
  6. Step 6: Final answer
    x = 2,771.93

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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.