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Finding the Third Proportional to 452.25 and 725.06

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Solution

The third proportional to 452.25 and 725.06 is: 1,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 725.06 = 725.06 : x
  2. Step 2: Convert to fraction form
    452.25/725.06 = 725.06/x
  3. Step 3: Cross multiply
    452.25x = 725.06 × 725.06
  4. Step 4: Simplify right side
    452.25x = 525,715.63
  5. Step 5: Solve for x
    x = 525,715.63/452.25
  6. Step 6: Final answer
    x = 1,162.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.