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Finding the Third Proportional to 587.81 and 1,253.75

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Solution

The third proportional to 587.81 and 1,253.75 is: 2,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.81 : 1,253.75 = 1,253.75 : x
  2. Step 2: Convert to fraction form
    587.81/1,253.75 = 1,253.75/x
  3. Step 3: Cross multiply
    587.81x = 1,253.75 × 1,253.75
  4. Step 4: Simplify right side
    587.81x = 1,571,889.06
  5. Step 5: Solve for x
    x = 1,571,889.06/587.81
  6. Step 6: Final answer
    x = 2,674.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.