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Finding the Third Proportional to 856.41 and 1,266.47

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Solution

The third proportional to 856.41 and 1,266.47 is: 1,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.41 : 1,266.47 = 1,266.47 : x
  2. Step 2: Convert to fraction form
    856.41/1,266.47 = 1,266.47/x
  3. Step 3: Cross multiply
    856.41x = 1,266.47 × 1,266.47
  4. Step 4: Simplify right side
    856.41x = 1,603,943.09
  5. Step 5: Solve for x
    x = 1,603,943.09/856.41
  6. Step 6: Final answer
    x = 1,872.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.