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Finding the Third Proportional to 469,296 and 672,516

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Solution

The third proportional to 469,296 and 672,516 is: 963,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,296 : 672,516 = 672,516 : x
  2. Step 2: Convert to fraction form
    469,296/672,516 = 672,516/x
  3. Step 3: Cross multiply
    469,296x = 672,516 × 672,516
  4. Step 4: Simplify right side
    469,296x = 452,277,770,256
  5. Step 5: Solve for x
    x = 452,277,770,256/469,296
  6. Step 6: Final answer
    x = 963,736.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.