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Finding the Third Proportional to 268,382 and 411,173

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Solution

The third proportional to 268,382 and 411,173 is: 629,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,382 : 411,173 = 411,173 : x
  2. Step 2: Convert to fraction form
    268,382/411,173 = 411,173/x
  3. Step 3: Cross multiply
    268,382x = 411,173 × 411,173
  4. Step 4: Simplify right side
    268,382x = 169,063,235,929
  5. Step 5: Solve for x
    x = 169,063,235,929/268,382
  6. Step 6: Final answer
    x = 629,935.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.