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Finding the Third Proportional to 379,160 and 877,771

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Solution

The third proportional to 379,160 and 877,771 is: 2,032,075.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,160 : 877,771 = 877,771 : x
  2. Step 2: Convert to fraction form
    379,160/877,771 = 877,771/x
  3. Step 3: Cross multiply
    379,160x = 877,771 × 877,771
  4. Step 4: Simplify right side
    379,160x = 770,481,928,441
  5. Step 5: Solve for x
    x = 770,481,928,441/379,160
  6. Step 6: Final answer
    x = 2,032,075.98

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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.