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Finding the Third Proportional to 295.31 and 622.88

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Solution

The third proportional to 295.31 and 622.88 is: 1,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.31 : 622.88 = 622.88 : x
  2. Step 2: Convert to fraction form
    295.31/622.88 = 622.88/x
  3. Step 3: Cross multiply
    295.31x = 622.88 × 622.88
  4. Step 4: Simplify right side
    295.31x = 387,973.27
  5. Step 5: Solve for x
    x = 387,973.27/295.31
  6. Step 6: Final answer
    x = 1,313.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.