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Finding the Third Proportional to 682.06 and 1,042.94

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Solution

The third proportional to 682.06 and 1,042.94 is: 1,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 1,042.94 = 1,042.94 : x
  2. Step 2: Convert to fraction form
    682.06/1,042.94 = 1,042.94/x
  3. Step 3: Cross multiply
    682.06x = 1,042.94 × 1,042.94
  4. Step 4: Simplify right side
    682.06x = 1,087,718.63
  5. Step 5: Solve for x
    x = 1,087,718.63/682.06
  6. Step 6: Final answer
    x = 1,594.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.