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Finding the Third Proportional to 349,880 and 763,066

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Solution

The third proportional to 349,880 and 763,066 is: 1,664,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,880 : 763,066 = 763,066 : x
  2. Step 2: Convert to fraction form
    349,880/763,066 = 763,066/x
  3. Step 3: Cross multiply
    349,880x = 763,066 × 763,066
  4. Step 4: Simplify right side
    349,880x = 582,269,720,356
  5. Step 5: Solve for x
    x = 582,269,720,356/349,880
  6. Step 6: Final answer
    x = 1,664,198.35

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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.