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Finding the Third Proportional to 376,370 and 536,529

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Solution

The third proportional to 376,370 and 536,529 is: 764,841.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,370 : 536,529 = 536,529 : x
  2. Step 2: Convert to fraction form
    376,370/536,529 = 536,529/x
  3. Step 3: Cross multiply
    376,370x = 536,529 × 536,529
  4. Step 4: Simplify right side
    376,370x = 287,863,367,841
  5. Step 5: Solve for x
    x = 287,863,367,841/376,370
  6. Step 6: Final answer
    x = 764,841.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.