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Finding the Third Proportional to 288,210 and 629,933

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Solution

The third proportional to 288,210 and 629,933 is: 1,376,827.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,210 : 629,933 = 629,933 : x
  2. Step 2: Convert to fraction form
    288,210/629,933 = 629,933/x
  3. Step 3: Cross multiply
    288,210x = 629,933 × 629,933
  4. Step 4: Simplify right side
    288,210x = 396,815,584,489
  5. Step 5: Solve for x
    x = 396,815,584,489/288,210
  6. Step 6: Final answer
    x = 1,376,827.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.