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Finding the Third Proportional to 283,257 and 616,314

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Solution

The third proportional to 283,257 and 616,314 is: 1,340,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,257 : 616,314 = 616,314 : x
  2. Step 2: Convert to fraction form
    283,257/616,314 = 616,314/x
  3. Step 3: Cross multiply
    283,257x = 616,314 × 616,314
  4. Step 4: Simplify right side
    283,257x = 379,842,946,596
  5. Step 5: Solve for x
    x = 379,842,946,596/283,257
  6. Step 6: Final answer
    x = 1,340,983.44

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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.