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Finding the Third Proportional to 683.63 and 1,025.44

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Solution

The third proportional to 683.63 and 1,025.44 is: 1,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.63 : 1,025.44 = 1,025.44 : x
  2. Step 2: Convert to fraction form
    683.63/1,025.44 = 1,025.44/x
  3. Step 3: Cross multiply
    683.63x = 1,025.44 × 1,025.44
  4. Step 4: Simplify right side
    683.63x = 1,051,522.07
  5. Step 5: Solve for x
    x = 1,051,522.07/683.63
  6. Step 6: Final answer
    x = 1,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.