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Finding the Third Proportional to 488.53 and 852.05

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Solution

The third proportional to 488.53 and 852.05 is: 1,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 852.05 = 852.05 : x
  2. Step 2: Convert to fraction form
    488.53/852.05 = 852.05/x
  3. Step 3: Cross multiply
    488.53x = 852.05 × 852.05
  4. Step 4: Simplify right side
    488.53x = 725,983.88
  5. Step 5: Solve for x
    x = 725,983.88/488.53
  6. Step 6: Final answer
    x = 1,486.05

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.