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Finding the Third Proportional to 591.94 and 926.53

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Solution

The third proportional to 591.94 and 926.53 is: 1,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.94 : 926.53 = 926.53 : x
  2. Step 2: Convert to fraction form
    591.94/926.53 = 926.53/x
  3. Step 3: Cross multiply
    591.94x = 926.53 × 926.53
  4. Step 4: Simplify right side
    591.94x = 858,460.16
  5. Step 5: Solve for x
    x = 858,460.16/591.94
  6. Step 6: Final answer
    x = 1,450.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.