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Finding the Third Proportional to 828.14 and 1,190.11

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Solution

The third proportional to 828.14 and 1,190.11 is: 1,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.14 : 1,190.11 = 1,190.11 : x
  2. Step 2: Convert to fraction form
    828.14/1,190.11 = 1,190.11/x
  3. Step 3: Cross multiply
    828.14x = 1,190.11 × 1,190.11
  4. Step 4: Simplify right side
    828.14x = 1,416,360.32
  5. Step 5: Solve for x
    x = 1,416,360.32/828.14
  6. Step 6: Final answer
    x = 1,710.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.