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Finding the Third Proportional to 180,476 and 392,801

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Solution

The third proportional to 180,476 and 392,801 is: 854,920.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,476 : 392,801 = 392,801 : x
  2. Step 2: Convert to fraction form
    180,476/392,801 = 392,801/x
  3. Step 3: Cross multiply
    180,476x = 392,801 × 392,801
  4. Step 4: Simplify right side
    180,476x = 154,292,625,601
  5. Step 5: Solve for x
    x = 154,292,625,601/180,476
  6. Step 6: Final answer
    x = 854,920.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.