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Finding the Third Proportional to 379,239 and 810,966

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Solution

The third proportional to 379,239 and 810,966 is: 1,734,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,239 : 810,966 = 810,966 : x
  2. Step 2: Convert to fraction form
    379,239/810,966 = 810,966/x
  3. Step 3: Cross multiply
    379,239x = 810,966 × 810,966
  4. Step 4: Simplify right side
    379,239x = 657,665,853,156
  5. Step 5: Solve for x
    x = 657,665,853,156/379,239
  6. Step 6: Final answer
    x = 1,734,172.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.