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Finding the Third Proportional to 376,522 and 573,612

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Solution

The third proportional to 376,522 and 573,612 is: 873,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,522 : 573,612 = 573,612 : x
  2. Step 2: Convert to fraction form
    376,522/573,612 = 573,612/x
  3. Step 3: Cross multiply
    376,522x = 573,612 × 573,612
  4. Step 4: Simplify right side
    376,522x = 329,030,726,544
  5. Step 5: Solve for x
    x = 329,030,726,544/376,522
  6. Step 6: Final answer
    x = 873,868.53

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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.