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Finding the Third Proportional to 337.82 and 733.01

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Solution

The third proportional to 337.82 and 733.01 is: 1,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.82 : 733.01 = 733.01 : x
  2. Step 2: Convert to fraction form
    337.82/733.01 = 733.01/x
  3. Step 3: Cross multiply
    337.82x = 733.01 × 733.01
  4. Step 4: Simplify right side
    337.82x = 537,300.45
  5. Step 5: Solve for x
    x = 537,300.45/337.82
  6. Step 6: Final answer
    x = 1,590.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.