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Finding the Third Proportional to 594.56 and 860.91

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Solution

The third proportional to 594.56 and 860.91 is: 1,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 860.91 = 860.91 : x
  2. Step 2: Convert to fraction form
    594.56/860.91 = 860.91/x
  3. Step 3: Cross multiply
    594.56x = 860.91 × 860.91
  4. Step 4: Simplify right side
    594.56x = 741,159.57
  5. Step 5: Solve for x
    x = 741,159.57/594.56
  6. Step 6: Final answer
    x = 1,246.56

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.