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Finding the Third Proportional to 281,304 and 616,013

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Solution

The third proportional to 281,304 and 616,013 is: 1,348,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,304 : 616,013 = 616,013 : x
  2. Step 2: Convert to fraction form
    281,304/616,013 = 616,013/x
  3. Step 3: Cross multiply
    281,304x = 616,013 × 616,013
  4. Step 4: Simplify right side
    281,304x = 379,472,016,169
  5. Step 5: Solve for x
    x = 379,472,016,169/281,304
  6. Step 6: Final answer
    x = 1,348,974.83

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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.