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Finding the Third Proportional to 594.56 and 1,266.75

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Solution

The third proportional to 594.56 and 1,266.75 is: 2,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 1,266.75 = 1,266.75 : x
  2. Step 2: Convert to fraction form
    594.56/1,266.75 = 1,266.75/x
  3. Step 3: Cross multiply
    594.56x = 1,266.75 × 1,266.75
  4. Step 4: Simplify right side
    594.56x = 1,604,655.56
  5. Step 5: Solve for x
    x = 1,604,655.56/594.56
  6. Step 6: Final answer
    x = 2,698.88

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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.