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Finding the Third Proportional to 461.53 and 674.16

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Solution

The third proportional to 461.53 and 674.16 is: 984.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 674.16 = 674.16 : x
  2. Step 2: Convert to fraction form
    461.53/674.16 = 674.16/x
  3. Step 3: Cross multiply
    461.53x = 674.16 × 674.16
  4. Step 4: Simplify right side
    461.53x = 454,486.65
  5. Step 5: Solve for x
    x = 454,486.65/461.53
  6. Step 6: Final answer
    x = 984.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.