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Finding the Third Proportional to 650,162 and 862,695

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Solution

The third proportional to 650,162 and 862,695 is: 1,144,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,162 : 862,695 = 862,695 : x
  2. Step 2: Convert to fraction form
    650,162/862,695 = 862,695/x
  3. Step 3: Cross multiply
    650,162x = 862,695 × 862,695
  4. Step 4: Simplify right side
    650,162x = 744,242,663,025
  5. Step 5: Solve for x
    x = 744,242,663,025/650,162
  6. Step 6: Final answer
    x = 1,144,703.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.