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Finding the Third Proportional to 539.63 and 860.78

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Solution

The third proportional to 539.63 and 860.78 is: 1,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.63 : 860.78 = 860.78 : x
  2. Step 2: Convert to fraction form
    539.63/860.78 = 860.78/x
  3. Step 3: Cross multiply
    539.63x = 860.78 × 860.78
  4. Step 4: Simplify right side
    539.63x = 740,947.72
  5. Step 5: Solve for x
    x = 740,947.72/539.63
  6. Step 6: Final answer
    x = 1,373.06

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.