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Finding the Third Proportional to 288,566 and 629,620

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Solution

The third proportional to 288,566 and 629,620 is: 1,373,763.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,566 : 629,620 = 629,620 : x
  2. Step 2: Convert to fraction form
    288,566/629,620 = 629,620/x
  3. Step 3: Cross multiply
    288,566x = 629,620 × 629,620
  4. Step 4: Simplify right side
    288,566x = 396,421,344,400
  5. Step 5: Solve for x
    x = 396,421,344,400/288,566
  6. Step 6: Final answer
    x = 1,373,763.18

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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.