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Finding the Third Proportional to 297 and 404

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Solution

The third proportional to 297 and 404 is: 549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 404 = 404 : x
  2. Step 2: Convert to fraction form
    297/404 = 404/x
  3. Step 3: Cross multiply
    297x = 404 × 404
  4. Step 4: Simplify right side
    297x = 163,216
  5. Step 5: Solve for x
    x = 163,216/297
  6. Step 6: Final answer
    x = 549.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.