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Finding the Third Proportional to 834.19 and 1,418.06

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Solution

The third proportional to 834.19 and 1,418.06 is: 2,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.19 : 1,418.06 = 1,418.06 : x
  2. Step 2: Convert to fraction form
    834.19/1,418.06 = 1,418.06/x
  3. Step 3: Cross multiply
    834.19x = 1,418.06 × 1,418.06
  4. Step 4: Simplify right side
    834.19x = 2,010,901.25
  5. Step 5: Solve for x
    x = 2,010,901.25/834.19
  6. Step 6: Final answer
    x = 2,410.61

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.