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Finding the Third Proportional to 361,624 and 756,296

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Solution

The third proportional to 361,624 and 756,296 is: 1,581,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,624 : 756,296 = 756,296 : x
  2. Step 2: Convert to fraction form
    361,624/756,296 = 756,296/x
  3. Step 3: Cross multiply
    361,624x = 756,296 × 756,296
  4. Step 4: Simplify right side
    361,624x = 571,983,639,616
  5. Step 5: Solve for x
    x = 571,983,639,616/361,624
  6. Step 6: Final answer
    x = 1,581,708.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.