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Finding the Third Proportional to 746.75 and 1,147.50

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Solution

The third proportional to 746.75 and 1,147.50 is: 1,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.75 : 1,147.50 = 1,147.50 : x
  2. Step 2: Convert to fraction form
    746.75/1,147.50 = 1,147.50/x
  3. Step 3: Cross multiply
    746.75x = 1,147.50 × 1,147.50
  4. Step 4: Simplify right side
    746.75x = 1,316,756.25
  5. Step 5: Solve for x
    x = 1,316,756.25/746.75
  6. Step 6: Final answer
    x = 1,763.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.