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Finding the Third Proportional to 500,750 and 682,005

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Solution

The third proportional to 500,750 and 682,005 is: 928,868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,750 : 682,005 = 682,005 : x
  2. Step 2: Convert to fraction form
    500,750/682,005 = 682,005/x
  3. Step 3: Cross multiply
    500,750x = 682,005 × 682,005
  4. Step 4: Simplify right side
    500,750x = 465,130,820,025
  5. Step 5: Solve for x
    x = 465,130,820,025/500,750
  6. Step 6: Final answer
    x = 928,868.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.