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Finding the Third Proportional to 360,093 and 784,983

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Solution

The third proportional to 360,093 and 784,983 is: 1,711,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,093 : 784,983 = 784,983 : x
  2. Step 2: Convert to fraction form
    360,093/784,983 = 784,983/x
  3. Step 3: Cross multiply
    360,093x = 784,983 × 784,983
  4. Step 4: Simplify right side
    360,093x = 616,198,310,289
  5. Step 5: Solve for x
    x = 616,198,310,289/360,093
  6. Step 6: Final answer
    x = 1,711,219.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.