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Finding the Third Proportional to 356.81 and 522.94

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Solution

The third proportional to 356.81 and 522.94 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 522.94 = 522.94 : x
  2. Step 2: Convert to fraction form
    356.81/522.94 = 522.94/x
  3. Step 3: Cross multiply
    356.81x = 522.94 × 522.94
  4. Step 4: Simplify right side
    356.81x = 273,463.63
  5. Step 5: Solve for x
    x = 273,463.63/356.81
  6. Step 6: Final answer
    x = 766.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.