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Finding the Third Proportional to 466,664 and 997,296

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Solution

The third proportional to 466,664 and 997,296 is: 2,131,296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,664 : 997,296 = 997,296 : x
  2. Step 2: Convert to fraction form
    466,664/997,296 = 997,296/x
  3. Step 3: Cross multiply
    466,664x = 997,296 × 997,296
  4. Step 4: Simplify right side
    466,664x = 994,599,311,616
  5. Step 5: Solve for x
    x = 994,599,311,616/466,664
  6. Step 6: Final answer
    x = 2,131,296.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.