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Finding the Third Proportional to 958.24 and 1,505.70

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Solution

The third proportional to 958.24 and 1,505.70 is: 2,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.24 : 1,505.70 = 1,505.70 : x
  2. Step 2: Convert to fraction form
    958.24/1,505.70 = 1,505.70/x
  3. Step 3: Cross multiply
    958.24x = 1,505.70 × 1,505.70
  4. Step 4: Simplify right side
    958.24x = 2,267,127.20
  5. Step 5: Solve for x
    x = 2,267,127.20/958.24
  6. Step 6: Final answer
    x = 2,365.94

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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.