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Finding the Third Proportional to 594.88 and 949.88

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Solution

The third proportional to 594.88 and 949.88 is: 1,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.88 : 949.88 = 949.88 : x
  2. Step 2: Convert to fraction form
    594.88/949.88 = 949.88/x
  3. Step 3: Cross multiply
    594.88x = 949.88 × 949.88
  4. Step 4: Simplify right side
    594.88x = 902,262.52
  5. Step 5: Solve for x
    x = 902,262.52/594.88
  6. Step 6: Final answer
    x = 1,516.73

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.