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Finding the Third Proportional to 297.63 and 638.30

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Solution

The third proportional to 297.63 and 638.30 is: 1,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 638.30 = 638.30 : x
  2. Step 2: Convert to fraction form
    297.63/638.30 = 638.30/x
  3. Step 3: Cross multiply
    297.63x = 638.30 × 638.30
  4. Step 4: Simplify right side
    297.63x = 407,422.90
  5. Step 5: Solve for x
    x = 407,422.90/297.63
  6. Step 6: Final answer
    x = 1,368.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.