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Finding the Third Proportional to 282,678 and 614,436

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Solution

The third proportional to 282,678 and 614,436 is: 1,335,553.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,678 : 614,436 = 614,436 : x
  2. Step 2: Convert to fraction form
    282,678/614,436 = 614,436/x
  3. Step 3: Cross multiply
    282,678x = 614,436 × 614,436
  4. Step 4: Simplify right side
    282,678x = 377,531,598,096
  5. Step 5: Solve for x
    x = 377,531,598,096/282,678
  6. Step 6: Final answer
    x = 1,335,553.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.