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Finding the Third Proportional to 295.37 and 618.73

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Solution

The third proportional to 295.37 and 618.73 is: 1,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.37 : 618.73 = 618.73 : x
  2. Step 2: Convert to fraction form
    295.37/618.73 = 618.73/x
  3. Step 3: Cross multiply
    295.37x = 618.73 × 618.73
  4. Step 4: Simplify right side
    295.37x = 382,829.81
  5. Step 5: Solve for x
    x = 382,829.81/295.37
  6. Step 6: Final answer
    x = 1,296.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.