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Finding the Third Proportional to 683,204 and 973,236

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Solution

The third proportional to 683,204 and 973,236 is: 1,386,391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,204 : 973,236 = 973,236 : x
  2. Step 2: Convert to fraction form
    683,204/973,236 = 973,236/x
  3. Step 3: Cross multiply
    683,204x = 973,236 × 973,236
  4. Step 4: Simplify right side
    683,204x = 947,188,311,696
  5. Step 5: Solve for x
    x = 947,188,311,696/683,204
  6. Step 6: Final answer
    x = 1,386,391.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.