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Finding the Third Proportional to 285,606 and 616,302

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Solution

The third proportional to 285,606 and 616,302 is: 1,329,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,606 : 616,302 = 616,302 : x
  2. Step 2: Convert to fraction form
    285,606/616,302 = 616,302/x
  3. Step 3: Cross multiply
    285,606x = 616,302 × 616,302
  4. Step 4: Simplify right side
    285,606x = 379,828,155,204
  5. Step 5: Solve for x
    x = 379,828,155,204/285,606
  6. Step 6: Final answer
    x = 1,329,902.58

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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.