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Finding the Third Proportional to 852.94 and 1,303.88

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Solution

The third proportional to 852.94 and 1,303.88 is: 1,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.94 : 1,303.88 = 1,303.88 : x
  2. Step 2: Convert to fraction form
    852.94/1,303.88 = 1,303.88/x
  3. Step 3: Cross multiply
    852.94x = 1,303.88 × 1,303.88
  4. Step 4: Simplify right side
    852.94x = 1,700,090.02
  5. Step 5: Solve for x
    x = 1,700,090.02/852.94
  6. Step 6: Final answer
    x = 1,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.