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Finding the Third Proportional to 416 and 591.75

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Solution

The third proportional to 416 and 591.75 is: 841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 591.75 = 591.75 : x
  2. Step 2: Convert to fraction form
    416/591.75 = 591.75/x
  3. Step 3: Cross multiply
    416x = 591.75 × 591.75
  4. Step 4: Simplify right side
    416x = 350,168.06
  5. Step 5: Solve for x
    x = 350,168.06/416
  6. Step 6: Final answer
    x = 841.75

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.