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Finding the Third Proportional to 295.73 and 610.45

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Solution

The third proportional to 295.73 and 610.45 is: 1,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.73 : 610.45 = 610.45 : x
  2. Step 2: Convert to fraction form
    295.73/610.45 = 610.45/x
  3. Step 3: Cross multiply
    295.73x = 610.45 × 610.45
  4. Step 4: Simplify right side
    295.73x = 372,653.02
  5. Step 5: Solve for x
    x = 372,653.02/295.73
  6. Step 6: Final answer
    x = 1,260.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.