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Finding the Third Proportional to 482.50 and 738.25

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Solution

The third proportional to 482.50 and 738.25 is: 1,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.50 : 738.25 = 738.25 : x
  2. Step 2: Convert to fraction form
    482.50/738.25 = 738.25/x
  3. Step 3: Cross multiply
    482.50x = 738.25 × 738.25
  4. Step 4: Simplify right side
    482.50x = 545,013.06
  5. Step 5: Solve for x
    x = 545,013.06/482.50
  6. Step 6: Final answer
    x = 1,129.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.