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Finding the Third Proportional to 297.42 and 625.22

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Solution

The third proportional to 297.42 and 625.22 is: 1,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.42 : 625.22 = 625.22 : x
  2. Step 2: Convert to fraction form
    297.42/625.22 = 625.22/x
  3. Step 3: Cross multiply
    297.42x = 625.22 × 625.22
  4. Step 4: Simplify right side
    297.42x = 390,898.49
  5. Step 5: Solve for x
    x = 390,898.49/297.42
  6. Step 6: Final answer
    x = 1,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.