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Finding the Third Proportional to 414,956 and 658,722

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Solution

The third proportional to 414,956 and 658,722 is: 1,045,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,956 : 658,722 = 658,722 : x
  2. Step 2: Convert to fraction form
    414,956/658,722 = 658,722/x
  3. Step 3: Cross multiply
    414,956x = 658,722 × 658,722
  4. Step 4: Simplify right side
    414,956x = 433,914,673,284
  5. Step 5: Solve for x
    x = 433,914,673,284/414,956
  6. Step 6: Final answer
    x = 1,045,688.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.