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Finding the Third Proportional to 284,648 and 616,048

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Solution

The third proportional to 284,648 and 616,048 is: 1,333,278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,648 : 616,048 = 616,048 : x
  2. Step 2: Convert to fraction form
    284,648/616,048 = 616,048/x
  3. Step 3: Cross multiply
    284,648x = 616,048 × 616,048
  4. Step 4: Simplify right side
    284,648x = 379,515,138,304
  5. Step 5: Solve for x
    x = 379,515,138,304/284,648
  6. Step 6: Final answer
    x = 1,333,278.78

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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.