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Finding the Third Proportional to 345.94 and 737.44

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Solution

The third proportional to 345.94 and 737.44 is: 1,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 737.44 = 737.44 : x
  2. Step 2: Convert to fraction form
    345.94/737.44 = 737.44/x
  3. Step 3: Cross multiply
    345.94x = 737.44 × 737.44
  4. Step 4: Simplify right side
    345.94x = 543,814.07
  5. Step 5: Solve for x
    x = 543,814.07/345.94
  6. Step 6: Final answer
    x = 1,572.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.