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Finding the Third Proportional to 458,622 and 694,869

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Solution

The third proportional to 458,622 and 694,869 is: 1,052,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,622 : 694,869 = 694,869 : x
  2. Step 2: Convert to fraction form
    458,622/694,869 = 694,869/x
  3. Step 3: Cross multiply
    458,622x = 694,869 × 694,869
  4. Step 4: Simplify right side
    458,622x = 482,842,927,161
  5. Step 5: Solve for x
    x = 482,842,927,161/458,622
  6. Step 6: Final answer
    x = 1,052,812.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.