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Finding the Third Proportional to 410,884 and 576,918

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Solution

The third proportional to 410,884 and 576,918 is: 810,044.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,884 : 576,918 = 576,918 : x
  2. Step 2: Convert to fraction form
    410,884/576,918 = 576,918/x
  3. Step 3: Cross multiply
    410,884x = 576,918 × 576,918
  4. Step 4: Simplify right side
    410,884x = 332,834,378,724
  5. Step 5: Solve for x
    x = 332,834,378,724/410,884
  6. Step 6: Final answer
    x = 810,044.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.