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Finding the Third Proportional to 303.47 and 663.89

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Solution

The third proportional to 303.47 and 663.89 is: 1,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.47 : 663.89 = 663.89 : x
  2. Step 2: Convert to fraction form
    303.47/663.89 = 663.89/x
  3. Step 3: Cross multiply
    303.47x = 663.89 × 663.89
  4. Step 4: Simplify right side
    303.47x = 440,750.76
  5. Step 5: Solve for x
    x = 440,750.76/303.47
  6. Step 6: Final answer
    x = 1,452.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.