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Finding the Third Proportional to 376,522 and 573,606

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Solution

The third proportional to 376,522 and 573,606 is: 873,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,522 : 573,606 = 573,606 : x
  2. Step 2: Convert to fraction form
    376,522/573,606 = 573,606/x
  3. Step 3: Cross multiply
    376,522x = 573,606 × 573,606
  4. Step 4: Simplify right side
    376,522x = 329,023,843,236
  5. Step 5: Solve for x
    x = 329,023,843,236/376,522
  6. Step 6: Final answer
    x = 873,850.25

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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.