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Finding the Third Proportional to 294.63 and 448.19

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Solution

The third proportional to 294.63 and 448.19 is: 681.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.63 : 448.19 = 448.19 : x
  2. Step 2: Convert to fraction form
    294.63/448.19 = 448.19/x
  3. Step 3: Cross multiply
    294.63x = 448.19 × 448.19
  4. Step 4: Simplify right side
    294.63x = 200,872.04
  5. Step 5: Solve for x
    x = 200,872.04/294.63
  6. Step 6: Final answer
    x = 681.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.