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Finding the Third Proportional to 377,185 and 813,419

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Solution

The third proportional to 377,185 and 813,419 is: 1,754,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,185 : 813,419 = 813,419 : x
  2. Step 2: Convert to fraction form
    377,185/813,419 = 813,419/x
  3. Step 3: Cross multiply
    377,185x = 813,419 × 813,419
  4. Step 4: Simplify right side
    377,185x = 661,650,469,561
  5. Step 5: Solve for x
    x = 661,650,469,561/377,185
  6. Step 6: Final answer
    x = 1,754,180.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.