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Finding the Third Proportional to 442.63 and 972.63

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Solution

The third proportional to 442.63 and 972.63 is: 2,137.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.63 : 972.63 = 972.63 : x
  2. Step 2: Convert to fraction form
    442.63/972.63 = 972.63/x
  3. Step 3: Cross multiply
    442.63x = 972.63 × 972.63
  4. Step 4: Simplify right side
    442.63x = 945,999.39
  5. Step 5: Solve for x
    x = 945,999.39/442.63
  6. Step 6: Final answer
    x = 2,137.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.