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Finding the Third Proportional to 443.05 and 972.47

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Solution

The third proportional to 443.05 and 972.47 is: 2,134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.05 : 972.47 = 972.47 : x
  2. Step 2: Convert to fraction form
    443.05/972.47 = 972.47/x
  3. Step 3: Cross multiply
    443.05x = 972.47 × 972.47
  4. Step 4: Simplify right side
    443.05x = 945,706.87
  5. Step 5: Solve for x
    x = 945,706.87/443.05
  6. Step 6: Final answer
    x = 2,134.55

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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.