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Finding the Third Proportional to 402.19 and 782.44

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Solution

The third proportional to 402.19 and 782.44 is: 1,522.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.19 : 782.44 = 782.44 : x
  2. Step 2: Convert to fraction form
    402.19/782.44 = 782.44/x
  3. Step 3: Cross multiply
    402.19x = 782.44 × 782.44
  4. Step 4: Simplify right side
    402.19x = 612,208.44
  5. Step 5: Solve for x
    x = 612,208.44/402.19
  6. Step 6: Final answer
    x = 1,522.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.