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Finding the Third Proportional to 442.50 and 793.88

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Solution

The third proportional to 442.50 and 793.88 is: 1,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.50 : 793.88 = 793.88 : x
  2. Step 2: Convert to fraction form
    442.50/793.88 = 793.88/x
  3. Step 3: Cross multiply
    442.50x = 793.88 × 793.88
  4. Step 4: Simplify right side
    442.50x = 630,237.52
  5. Step 5: Solve for x
    x = 630,237.52/442.50
  6. Step 6: Final answer
    x = 1,424.27

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.