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Finding the Third Proportional to 291.94 and 478.97

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Solution

The third proportional to 291.94 and 478.97 is: 785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.94 : 478.97 = 478.97 : x
  2. Step 2: Convert to fraction form
    291.94/478.97 = 478.97/x
  3. Step 3: Cross multiply
    291.94x = 478.97 × 478.97
  4. Step 4: Simplify right side
    291.94x = 229,411.06
  5. Step 5: Solve for x
    x = 229,411.06/291.94
  6. Step 6: Final answer
    x = 785.82

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.