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Finding the Third Proportional to 354.53 and 733.63

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Solution

The third proportional to 354.53 and 733.63 is: 1,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.53 : 733.63 = 733.63 : x
  2. Step 2: Convert to fraction form
    354.53/733.63 = 733.63/x
  3. Step 3: Cross multiply
    354.53x = 733.63 × 733.63
  4. Step 4: Simplify right side
    354.53x = 538,209.22
  5. Step 5: Solve for x
    x = 538,209.22/354.53
  6. Step 6: Final answer
    x = 1,518.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.