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Finding the Third Proportional to 646.73 and 1,395.56

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Solution

The third proportional to 646.73 and 1,395.56 is: 3,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.73 : 1,395.56 = 1,395.56 : x
  2. Step 2: Convert to fraction form
    646.73/1,395.56 = 1,395.56/x
  3. Step 3: Cross multiply
    646.73x = 1,395.56 × 1,395.56
  4. Step 4: Simplify right side
    646.73x = 1,947,594.69
  5. Step 5: Solve for x
    x = 1,947,594.69/646.73
  6. Step 6: Final answer
    x = 3,011.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.