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Finding the Third Proportional to 782.44 and 1,202.20

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Solution

The third proportional to 782.44 and 1,202.20 is: 1,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,202.20 = 1,202.20 : x
  2. Step 2: Convert to fraction form
    782.44/1,202.20 = 1,202.20/x
  3. Step 3: Cross multiply
    782.44x = 1,202.20 × 1,202.20
  4. Step 4: Simplify right side
    782.44x = 1,445,292.35
  5. Step 5: Solve for x
    x = 1,445,292.35/782.44
  6. Step 6: Final answer
    x = 1,847.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.