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Finding the Third Proportional to 282,381 and 579,795

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Solution

The third proportional to 282,381 and 579,795 is: 1,190,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,381 : 579,795 = 579,795 : x
  2. Step 2: Convert to fraction form
    282,381/579,795 = 579,795/x
  3. Step 3: Cross multiply
    282,381x = 579,795 × 579,795
  4. Step 4: Simplify right side
    282,381x = 336,162,242,025
  5. Step 5: Solve for x
    x = 336,162,242,025/282,381
  6. Step 6: Final answer
    x = 1,190,456.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.