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Finding the Third Proportional to 373,176 and 805,296

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Solution

The third proportional to 373,176 and 805,296 is: 1,737,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,176 : 805,296 = 805,296 : x
  2. Step 2: Convert to fraction form
    373,176/805,296 = 805,296/x
  3. Step 3: Cross multiply
    373,176x = 805,296 × 805,296
  4. Step 4: Simplify right side
    373,176x = 648,501,647,616
  5. Step 5: Solve for x
    x = 648,501,647,616/373,176
  6. Step 6: Final answer
    x = 1,737,790.34

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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.