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Finding the Third Proportional to 392,544 and 847,296

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Solution

The third proportional to 392,544 and 847,296 is: 1,828,866.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,544 : 847,296 = 847,296 : x
  2. Step 2: Convert to fraction form
    392,544/847,296 = 847,296/x
  3. Step 3: Cross multiply
    392,544x = 847,296 × 847,296
  4. Step 4: Simplify right side
    392,544x = 717,910,511,616
  5. Step 5: Solve for x
    x = 717,910,511,616/392,544
  6. Step 6: Final answer
    x = 1,828,866.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.