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Finding the Third Proportional to 523.13 and 1,298.81

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Solution

The third proportional to 523.13 and 1,298.81 is: 3,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.13 : 1,298.81 = 1,298.81 : x
  2. Step 2: Convert to fraction form
    523.13/1,298.81 = 1,298.81/x
  3. Step 3: Cross multiply
    523.13x = 1,298.81 × 1,298.81
  4. Step 4: Simplify right side
    523.13x = 1,686,913.91
  5. Step 5: Solve for x
    x = 1,686,913.91/523.13
  6. Step 6: Final answer
    x = 3,224.69

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.