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Finding the Third Proportional to 297 and 704.25

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Solution

The third proportional to 297 and 704.25 is: 1,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 704.25 = 704.25 : x
  2. Step 2: Convert to fraction form
    297/704.25 = 704.25/x
  3. Step 3: Cross multiply
    297x = 704.25 × 704.25
  4. Step 4: Simplify right side
    297x = 495,968.06
  5. Step 5: Solve for x
    x = 495,968.06/297
  6. Step 6: Final answer
    x = 1,669.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.