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Finding the Third Proportional to 876.94 and 1,234.13

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Solution

The third proportional to 876.94 and 1,234.13 is: 1,736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 1,234.13 = 1,234.13 : x
  2. Step 2: Convert to fraction form
    876.94/1,234.13 = 1,234.13/x
  3. Step 3: Cross multiply
    876.94x = 1,234.13 × 1,234.13
  4. Step 4: Simplify right side
    876.94x = 1,523,064.52
  5. Step 5: Solve for x
    x = 1,523,064.52/876.94
  6. Step 6: Final answer
    x = 1,736.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.