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Finding the Third Proportional to 379,158 and 877,767

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Solution

The third proportional to 379,158 and 877,767 is: 2,032,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,158 : 877,767 = 877,767 : x
  2. Step 2: Convert to fraction form
    379,158/877,767 = 877,767/x
  3. Step 3: Cross multiply
    379,158x = 877,767 × 877,767
  4. Step 4: Simplify right side
    379,158x = 770,474,906,289
  5. Step 5: Solve for x
    x = 770,474,906,289/379,158
  6. Step 6: Final answer
    x = 2,032,068.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.