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Finding the Third Proportional to 376,173 and 813,701

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Solution

The third proportional to 376,173 and 813,701 is: 1,760,119.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,173 : 813,701 = 813,701 : x
  2. Step 2: Convert to fraction form
    376,173/813,701 = 813,701/x
  3. Step 3: Cross multiply
    376,173x = 813,701 × 813,701
  4. Step 4: Simplify right side
    376,173x = 662,109,317,401
  5. Step 5: Solve for x
    x = 662,109,317,401/376,173
  6. Step 6: Final answer
    x = 1,760,119.19

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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.