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Finding the Third Proportional to 376,018 and 770,376

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Solution

The third proportional to 376,018 and 770,376 is: 1,578,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,018 : 770,376 = 770,376 : x
  2. Step 2: Convert to fraction form
    376,018/770,376 = 770,376/x
  3. Step 3: Cross multiply
    376,018x = 770,376 × 770,376
  4. Step 4: Simplify right side
    376,018x = 593,479,181,376
  5. Step 5: Solve for x
    x = 593,479,181,376/376,018
  6. Step 6: Final answer
    x = 1,578,326.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.