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Finding the Third Proportional to 856.97 and 1,279.84

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Solution

The third proportional to 856.97 and 1,279.84 is: 1,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.97 : 1,279.84 = 1,279.84 : x
  2. Step 2: Convert to fraction form
    856.97/1,279.84 = 1,279.84/x
  3. Step 3: Cross multiply
    856.97x = 1,279.84 × 1,279.84
  4. Step 4: Simplify right side
    856.97x = 1,637,999.40
  5. Step 5: Solve for x
    x = 1,637,999.40/856.97
  6. Step 6: Final answer
    x = 1,911.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.