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Finding the Third Proportional to 368.63 and 516.75

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Solution

The third proportional to 368.63 and 516.75 is: 724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.63 : 516.75 = 516.75 : x
  2. Step 2: Convert to fraction form
    368.63/516.75 = 516.75/x
  3. Step 3: Cross multiply
    368.63x = 516.75 × 516.75
  4. Step 4: Simplify right side
    368.63x = 267,030.56
  5. Step 5: Solve for x
    x = 267,030.56/368.63
  6. Step 6: Final answer
    x = 724.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.