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Finding the Third Proportional to 386.81 and 917.53

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Solution

The third proportional to 386.81 and 917.53 is: 2,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.81 : 917.53 = 917.53 : x
  2. Step 2: Convert to fraction form
    386.81/917.53 = 917.53/x
  3. Step 3: Cross multiply
    386.81x = 917.53 × 917.53
  4. Step 4: Simplify right side
    386.81x = 841,863.59
  5. Step 5: Solve for x
    x = 841,863.59/386.81
  6. Step 6: Final answer
    x = 2,176.41

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.