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Finding the Third Proportional to 281,938 and 608,204

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Solution

The third proportional to 281,938 and 608,204 is: 1,312,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,938 : 608,204 = 608,204 : x
  2. Step 2: Convert to fraction form
    281,938/608,204 = 608,204/x
  3. Step 3: Cross multiply
    281,938x = 608,204 × 608,204
  4. Step 4: Simplify right side
    281,938x = 369,912,105,616
  5. Step 5: Solve for x
    x = 369,912,105,616/281,938
  6. Step 6: Final answer
    x = 1,312,033.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.