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Finding the Third Proportional to 683,234.50 and 973,279.75

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Solution

The third proportional to 683,234.50 and 973,279.75 is: 1,386,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,234.50 : 973,279.75 = 973,279.75 : x
  2. Step 2: Convert to fraction form
    683,234.50/973,279.75 = 973,279.75/x
  3. Step 3: Cross multiply
    683,234.50x = 973,279.75 × 973,279.75
  4. Step 4: Simplify right side
    683,234.50x = 947,273,471,760.06
  5. Step 5: Solve for x
    x = 947,273,471,760.06/683,234.50
  6. Step 6: Final answer
    x = 1,386,454.39

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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.