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Finding the Third Proportional to 376,825.50 and 511,701

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Solution

The third proportional to 376,825.50 and 511,701 is: 694,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,825.50 : 511,701 = 511,701 : x
  2. Step 2: Convert to fraction form
    376,825.50/511,701 = 511,701/x
  3. Step 3: Cross multiply
    376,825.50x = 511,701 × 511,701
  4. Step 4: Simplify right side
    376,825.50x = 261,837,913,401
  5. Step 5: Solve for x
    x = 261,837,913,401/376,825.50
  6. Step 6: Final answer
    x = 694,851.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.