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Finding the Third Proportional to 356.63 and 758.81

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Solution

The third proportional to 356.63 and 758.81 is: 1,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.63 : 758.81 = 758.81 : x
  2. Step 2: Convert to fraction form
    356.63/758.81 = 758.81/x
  3. Step 3: Cross multiply
    356.63x = 758.81 × 758.81
  4. Step 4: Simplify right side
    356.63x = 575,796.41
  5. Step 5: Solve for x
    x = 575,796.41/356.63
  6. Step 6: Final answer
    x = 1,614.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.