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Finding the Third Proportional to 452,736 and 612,673

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Solution

The third proportional to 452,736 and 612,673 is: 829,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,736 : 612,673 = 612,673 : x
  2. Step 2: Convert to fraction form
    452,736/612,673 = 612,673/x
  3. Step 3: Cross multiply
    452,736x = 612,673 × 612,673
  4. Step 4: Simplify right side
    452,736x = 375,368,204,929
  5. Step 5: Solve for x
    x = 375,368,204,929/452,736
  6. Step 6: Final answer
    x = 829,110.57

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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.