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Finding the Third Proportional to 567,162 and 850,743

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Solution

The third proportional to 567,162 and 850,743 is: 1,276,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,162 : 850,743 = 850,743 : x
  2. Step 2: Convert to fraction form
    567,162/850,743 = 850,743/x
  3. Step 3: Cross multiply
    567,162x = 850,743 × 850,743
  4. Step 4: Simplify right side
    567,162x = 723,763,652,049
  5. Step 5: Solve for x
    x = 723,763,652,049/567,162
  6. Step 6: Final answer
    x = 1,276,114.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.