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Finding the Third Proportional to 315.75 and 461.63

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Solution

The third proportional to 315.75 and 461.63 is: 674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.75 : 461.63 = 461.63 : x
  2. Step 2: Convert to fraction form
    315.75/461.63 = 461.63/x
  3. Step 3: Cross multiply
    315.75x = 461.63 × 461.63
  4. Step 4: Simplify right side
    315.75x = 213,097.64
  5. Step 5: Solve for x
    x = 213,097.64/315.75
  6. Step 6: Final answer
    x = 674.89

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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.