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Finding the Third Proportional to 174,780 and 382,907

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Solution

The third proportional to 174,780 and 382,907 is: 838,870.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,780 : 382,907 = 382,907 : x
  2. Step 2: Convert to fraction form
    174,780/382,907 = 382,907/x
  3. Step 3: Cross multiply
    174,780x = 382,907 × 382,907
  4. Step 4: Simplify right side
    174,780x = 146,617,770,649
  5. Step 5: Solve for x
    x = 146,617,770,649/174,780
  6. Step 6: Final answer
    x = 838,870.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.