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Finding the Third Proportional to 452,736 and 612,672

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Solution

The third proportional to 452,736 and 612,672 is: 829,107.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,736 : 612,672 = 612,672 : x
  2. Step 2: Convert to fraction form
    452,736/612,672 = 612,672/x
  3. Step 3: Cross multiply
    452,736x = 612,672 × 612,672
  4. Step 4: Simplify right side
    452,736x = 375,366,979,584
  5. Step 5: Solve for x
    x = 375,366,979,584/452,736
  6. Step 6: Final answer
    x = 829,107.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.