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Finding the Third Proportional to 682,006 and 948,274.75

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Solution

The third proportional to 682,006 and 948,274.75 is: 1,318,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,006 : 948,274.75 = 948,274.75 : x
  2. Step 2: Convert to fraction form
    682,006/948,274.75 = 948,274.75/x
  3. Step 3: Cross multiply
    682,006x = 948,274.75 × 948,274.75
  4. Step 4: Simplify right side
    682,006x = 899,225,001,487.56
  5. Step 5: Solve for x
    x = 899,225,001,487.56/682,006
  6. Step 6: Final answer
    x = 1,318,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.