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Finding the Third Proportional to 913.13 and 1,483.56

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Solution

The third proportional to 913.13 and 1,483.56 is: 2,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.13 : 1,483.56 = 1,483.56 : x
  2. Step 2: Convert to fraction form
    913.13/1,483.56 = 1,483.56/x
  3. Step 3: Cross multiply
    913.13x = 1,483.56 × 1,483.56
  4. Step 4: Simplify right side
    913.13x = 2,200,957.69
  5. Step 5: Solve for x
    x = 2,200,957.69/913.13
  6. Step 6: Final answer
    x = 2,410.36

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.