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Finding the Third Proportional to 283,252 and 616,456

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Solution

The third proportional to 283,252 and 616,456 is: 1,341,625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,252 : 616,456 = 616,456 : x
  2. Step 2: Convert to fraction form
    283,252/616,456 = 616,456/x
  3. Step 3: Cross multiply
    283,252x = 616,456 × 616,456
  4. Step 4: Simplify right side
    283,252x = 380,017,999,936
  5. Step 5: Solve for x
    x = 380,017,999,936/283,252
  6. Step 6: Final answer
    x = 1,341,625.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.