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Finding the Third Proportional to 480.54 and 725.62

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Solution

The third proportional to 480.54 and 725.62 is: 1,095.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.54 : 725.62 = 725.62 : x
  2. Step 2: Convert to fraction form
    480.54/725.62 = 725.62/x
  3. Step 3: Cross multiply
    480.54x = 725.62 × 725.62
  4. Step 4: Simplify right side
    480.54x = 526,522.07
  5. Step 5: Solve for x
    x = 526,522.07/480.54
  6. Step 6: Final answer
    x = 1,095.68

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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.