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Finding the Third Proportional to 377,183 and 813,415

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Solution

The third proportional to 377,183 and 813,415 is: 1,754,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,183 : 813,415 = 813,415 : x
  2. Step 2: Convert to fraction form
    377,183/813,415 = 813,415/x
  3. Step 3: Cross multiply
    377,183x = 813,415 × 813,415
  4. Step 4: Simplify right side
    377,183x = 661,643,962,225
  5. Step 5: Solve for x
    x = 661,643,962,225/377,183
  6. Step 6: Final answer
    x = 1,754,172.28

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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.