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Finding the Third Proportional to 604.13 and 1,386.56

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Solution

The third proportional to 604.13 and 1,386.56 is: 3,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.13 : 1,386.56 = 1,386.56 : x
  2. Step 2: Convert to fraction form
    604.13/1,386.56 = 1,386.56/x
  3. Step 3: Cross multiply
    604.13x = 1,386.56 × 1,386.56
  4. Step 4: Simplify right side
    604.13x = 1,922,555.57
  5. Step 5: Solve for x
    x = 1,922,555.57/604.13
  6. Step 6: Final answer
    x = 3,182.38

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.