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Finding the Third Proportional to 281,736 and 383,724

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Solution

The third proportional to 281,736 and 383,724 is: 522,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,736 : 383,724 = 383,724 : x
  2. Step 2: Convert to fraction form
    281,736/383,724 = 383,724/x
  3. Step 3: Cross multiply
    281,736x = 383,724 × 383,724
  4. Step 4: Simplify right side
    281,736x = 147,244,108,176
  5. Step 5: Solve for x
    x = 147,244,108,176/281,736
  6. Step 6: Final answer
    x = 522,631.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.