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Finding the Third Proportional to 860.63 and 1,263.09

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Solution

The third proportional to 860.63 and 1,263.09 is: 1,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.63 : 1,263.09 = 1,263.09 : x
  2. Step 2: Convert to fraction form
    860.63/1,263.09 = 1,263.09/x
  3. Step 3: Cross multiply
    860.63x = 1,263.09 × 1,263.09
  4. Step 4: Simplify right side
    860.63x = 1,595,405.82
  5. Step 5: Solve for x
    x = 1,595,405.82/860.63
  6. Step 6: Final answer
    x = 1,853.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.