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Finding the Third Proportional to 376,525 and 573,619

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Solution

The third proportional to 376,525 and 573,619 is: 873,882.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,525 : 573,619 = 573,619 : x
  2. Step 2: Convert to fraction form
    376,525/573,619 = 573,619/x
  3. Step 3: Cross multiply
    376,525x = 573,619 × 573,619
  4. Step 4: Simplify right side
    376,525x = 329,038,757,161
  5. Step 5: Solve for x
    x = 329,038,757,161/376,525
  6. Step 6: Final answer
    x = 873,882.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.