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Finding the Third Proportional to 269,506 and 404,225

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Solution

The third proportional to 269,506 and 404,225 is: 606,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,506 : 404,225 = 404,225 : x
  2. Step 2: Convert to fraction form
    269,506/404,225 = 404,225/x
  3. Step 3: Cross multiply
    269,506x = 404,225 × 404,225
  4. Step 4: Simplify right side
    269,506x = 163,397,850,625
  5. Step 5: Solve for x
    x = 163,397,850,625/269,506
  6. Step 6: Final answer
    x = 606,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.