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Finding the Third Proportional to 309.22 and 652.94

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Solution

The third proportional to 309.22 and 652.94 is: 1,378.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 652.94 = 652.94 : x
  2. Step 2: Convert to fraction form
    309.22/652.94 = 652.94/x
  3. Step 3: Cross multiply
    309.22x = 652.94 × 652.94
  4. Step 4: Simplify right side
    309.22x = 426,327.38
  5. Step 5: Solve for x
    x = 426,327.38/309.22
  6. Step 6: Final answer
    x = 1,378.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.