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Finding the Third Proportional to 357 and 746.25

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Solution

The third proportional to 357 and 746.25 is: 1,559.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357 : 746.25 = 746.25 : x
  2. Step 2: Convert to fraction form
    357/746.25 = 746.25/x
  3. Step 3: Cross multiply
    357x = 746.25 × 746.25
  4. Step 4: Simplify right side
    357x = 556,889.06
  5. Step 5: Solve for x
    x = 556,889.06/357
  6. Step 6: Final answer
    x = 1,559.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.