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Finding the Third Proportional to 330,022 and 514,744

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Solution

The third proportional to 330,022 and 514,744 is: 802,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,022 : 514,744 = 514,744 : x
  2. Step 2: Convert to fraction form
    330,022/514,744 = 514,744/x
  3. Step 3: Cross multiply
    330,022x = 514,744 × 514,744
  4. Step 4: Simplify right side
    330,022x = 264,961,385,536
  5. Step 5: Solve for x
    x = 264,961,385,536/330,022
  6. Step 6: Final answer
    x = 802,859.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.