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Finding the Third Proportional to 829.62 and 1,246.32

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Solution

The third proportional to 829.62 and 1,246.32 is: 1,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,246.32 = 1,246.32 : x
  2. Step 2: Convert to fraction form
    829.62/1,246.32 = 1,246.32/x
  3. Step 3: Cross multiply
    829.62x = 1,246.32 × 1,246.32
  4. Step 4: Simplify right side
    829.62x = 1,553,324.06
  5. Step 5: Solve for x
    x = 1,553,324.06/829.62
  6. Step 6: Final answer
    x = 1,872.34

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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.