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Finding the Third Proportional to 452,192 and 699,861

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Solution

The third proportional to 452,192 and 699,861 is: 1,083,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,192 : 699,861 = 699,861 : x
  2. Step 2: Convert to fraction form
    452,192/699,861 = 699,861/x
  3. Step 3: Cross multiply
    452,192x = 699,861 × 699,861
  4. Step 4: Simplify right side
    452,192x = 489,805,419,321
  5. Step 5: Solve for x
    x = 489,805,419,321/452,192
  6. Step 6: Final answer
    x = 1,083,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.