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Finding the Third Proportional to 285,977 and 616,279

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Solution

The third proportional to 285,977 and 616,279 is: 1,328,078.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977 : 616,279 = 616,279 : x
  2. Step 2: Convert to fraction form
    285,977/616,279 = 616,279/x
  3. Step 3: Cross multiply
    285,977x = 616,279 × 616,279
  4. Step 4: Simplify right side
    285,977x = 379,799,805,841
  5. Step 5: Solve for x
    x = 379,799,805,841/285,977
  6. Step 6: Final answer
    x = 1,328,078.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.