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Finding the Third Proportional to 772.56 and 1,823.03

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Solution

The third proportional to 772.56 and 1,823.03 is: 4,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.56 : 1,823.03 = 1,823.03 : x
  2. Step 2: Convert to fraction form
    772.56/1,823.03 = 1,823.03/x
  3. Step 3: Cross multiply
    772.56x = 1,823.03 × 1,823.03
  4. Step 4: Simplify right side
    772.56x = 3,323,428.70
  5. Step 5: Solve for x
    x = 3,323,428.70/772.56
  6. Step 6: Final answer
    x = 4,301.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.