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Finding the Third Proportional to 834.47 and 1,254.66

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Solution

The third proportional to 834.47 and 1,254.66 is: 1,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.47 : 1,254.66 = 1,254.66 : x
  2. Step 2: Convert to fraction form
    834.47/1,254.66 = 1,254.66/x
  3. Step 3: Cross multiply
    834.47x = 1,254.66 × 1,254.66
  4. Step 4: Simplify right side
    834.47x = 1,574,162.31
  5. Step 5: Solve for x
    x = 1,574,162.31/834.47
  6. Step 6: Final answer
    x = 1,886.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.