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Finding the Third Proportional to 376,298 and 536,422

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Solution

The third proportional to 376,298 and 536,422 is: 764,682.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,298 : 536,422 = 536,422 : x
  2. Step 2: Convert to fraction form
    376,298/536,422 = 536,422/x
  3. Step 3: Cross multiply
    376,298x = 536,422 × 536,422
  4. Step 4: Simplify right side
    376,298x = 287,748,562,084
  5. Step 5: Solve for x
    x = 287,748,562,084/376,298
  6. Step 6: Final answer
    x = 764,682.68

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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.