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Finding the Third Proportional to 434,450 and 606,936

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Solution

The third proportional to 434,450 and 606,936 is: 847,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,450 : 606,936 = 606,936 : x
  2. Step 2: Convert to fraction form
    434,450/606,936 = 606,936/x
  3. Step 3: Cross multiply
    434,450x = 606,936 × 606,936
  4. Step 4: Simplify right side
    434,450x = 368,371,308,096
  5. Step 5: Solve for x
    x = 368,371,308,096/434,450
  6. Step 6: Final answer
    x = 847,902.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.