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Finding the Third Proportional to 452.32 and 683.30

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Solution

The third proportional to 452.32 and 683.30 is: 1,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 683.30 = 683.30 : x
  2. Step 2: Convert to fraction form
    452.32/683.30 = 683.30/x
  3. Step 3: Cross multiply
    452.32x = 683.30 × 683.30
  4. Step 4: Simplify right side
    452.32x = 466,894.62
  5. Step 5: Solve for x
    x = 466,894.62/452.32
  6. Step 6: Final answer
    x = 1,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.