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Finding the Third Proportional to 294.73 and 448.51

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Solution

The third proportional to 294.73 and 448.51 is: 682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.73 : 448.51 = 448.51 : x
  2. Step 2: Convert to fraction form
    294.73/448.51 = 448.51/x
  3. Step 3: Cross multiply
    294.73x = 448.51 × 448.51
  4. Step 4: Simplify right side
    294.73x = 201,157.51
  5. Step 5: Solve for x
    x = 201,157.51/294.73
  6. Step 6: Final answer
    x = 682.51

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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.