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Finding the Third Proportional to 289,016 and 383,592

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Solution

The third proportional to 289,016 and 383,592 is: 509,116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,016 : 383,592 = 383,592 : x
  2. Step 2: Convert to fraction form
    289,016/383,592 = 383,592/x
  3. Step 3: Cross multiply
    289,016x = 383,592 × 383,592
  4. Step 4: Simplify right side
    289,016x = 147,142,822,464
  5. Step 5: Solve for x
    x = 147,142,822,464/289,016
  6. Step 6: Final answer
    x = 509,116.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.