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Finding the Third Proportional to 312.94 and 482.06

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Solution

The third proportional to 312.94 and 482.06 is: 742.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.94 : 482.06 = 482.06 : x
  2. Step 2: Convert to fraction form
    312.94/482.06 = 482.06/x
  3. Step 3: Cross multiply
    312.94x = 482.06 × 482.06
  4. Step 4: Simplify right side
    312.94x = 232,384.25
  5. Step 5: Solve for x
    x = 232,384.25/312.94
  6. Step 6: Final answer
    x = 742.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.