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Finding the Third Proportional to 282,069 and 587,467

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Solution

The third proportional to 282,069 and 587,467 is: 1,223,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,069 : 587,467 = 587,467 : x
  2. Step 2: Convert to fraction form
    282,069/587,467 = 587,467/x
  3. Step 3: Cross multiply
    282,069x = 587,467 × 587,467
  4. Step 4: Simplify right side
    282,069x = 345,117,476,089
  5. Step 5: Solve for x
    x = 345,117,476,089/282,069
  6. Step 6: Final answer
    x = 1,223,521.46

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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.