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Finding the Third Proportional to 349,870 and 763,049

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Solution

The third proportional to 349,870 and 763,049 is: 1,664,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,870 : 763,049 = 763,049 : x
  2. Step 2: Convert to fraction form
    349,870/763,049 = 763,049/x
  3. Step 3: Cross multiply
    349,870x = 763,049 × 763,049
  4. Step 4: Simplify right side
    349,870x = 582,243,776,401
  5. Step 5: Solve for x
    x = 582,243,776,401/349,870
  6. Step 6: Final answer
    x = 1,664,171.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.