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Finding the Third Proportional to 312.38 and 711.94

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Solution

The third proportional to 312.38 and 711.94 is: 1,622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.38 : 711.94 = 711.94 : x
  2. Step 2: Convert to fraction form
    312.38/711.94 = 711.94/x
  3. Step 3: Cross multiply
    312.38x = 711.94 × 711.94
  4. Step 4: Simplify right side
    312.38x = 506,855.00
  5. Step 5: Solve for x
    x = 506,855.00/312.38
  6. Step 6: Final answer
    x = 1,622.59

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.