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Finding the Third Proportional to 585.98 and 1,241.58

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Solution

The third proportional to 585.98 and 1,241.58 is: 2,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.98 : 1,241.58 = 1,241.58 : x
  2. Step 2: Convert to fraction form
    585.98/1,241.58 = 1,241.58/x
  3. Step 3: Cross multiply
    585.98x = 1,241.58 × 1,241.58
  4. Step 4: Simplify right side
    585.98x = 1,541,516.24
  5. Step 5: Solve for x
    x = 1,541,516.24/585.98
  6. Step 6: Final answer
    x = 2,630.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.