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Finding the Third Proportional to 297 and 418.13

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Solution

The third proportional to 297 and 418.13 is: 588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 418.13 = 418.13 : x
  2. Step 2: Convert to fraction form
    297/418.13 = 418.13/x
  3. Step 3: Cross multiply
    297x = 418.13 × 418.13
  4. Step 4: Simplify right side
    297x = 174,828.52
  5. Step 5: Solve for x
    x = 174,828.52/297
  6. Step 6: Final answer
    x = 588.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.