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Finding the Third Proportional to 322,056 and 699,516

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Solution

The third proportional to 322,056 and 699,516 is: 1,519,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,056 : 699,516 = 699,516 : x
  2. Step 2: Convert to fraction form
    322,056/699,516 = 699,516/x
  3. Step 3: Cross multiply
    322,056x = 699,516 × 699,516
  4. Step 4: Simplify right side
    322,056x = 489,322,634,256
  5. Step 5: Solve for x
    x = 489,322,634,256/322,056
  6. Step 6: Final answer
    x = 1,519,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.