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Finding the Third Proportional to 652.22 and 978.33

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Solution

The third proportional to 652.22 and 978.33 is: 1,467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.22 : 978.33 = 978.33 : x
  2. Step 2: Convert to fraction form
    652.22/978.33 = 978.33/x
  3. Step 3: Cross multiply
    652.22x = 978.33 × 978.33
  4. Step 4: Simplify right side
    652.22x = 957,125.92
  5. Step 5: Solve for x
    x = 957,125.92/652.22
  6. Step 6: Final answer
    x = 1,467.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.