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Finding the Third Proportional to 282,306 and 587,844

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Solution

The third proportional to 282,306 and 587,844 is: 1,224,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,306 : 587,844 = 587,844 : x
  2. Step 2: Convert to fraction form
    282,306/587,844 = 587,844/x
  3. Step 3: Cross multiply
    282,306x = 587,844 × 587,844
  4. Step 4: Simplify right side
    282,306x = 345,560,568,336
  5. Step 5: Solve for x
    x = 345,560,568,336/282,306
  6. Step 6: Final answer
    x = 1,224,063.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.