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Finding the Third Proportional to 360.94 and 782.58

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Solution

The third proportional to 360.94 and 782.58 is: 1,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 782.58 = 782.58 : x
  2. Step 2: Convert to fraction form
    360.94/782.58 = 782.58/x
  3. Step 3: Cross multiply
    360.94x = 782.58 × 782.58
  4. Step 4: Simplify right side
    360.94x = 612,428.52
  5. Step 5: Solve for x
    x = 612,428.52/360.94
  6. Step 6: Final answer
    x = 1,696.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.