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Finding the Third Proportional to 458,956 and 661,026

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Solution

The third proportional to 458,956 and 661,026 is: 952,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956 : 661,026 = 661,026 : x
  2. Step 2: Convert to fraction form
    458,956/661,026 = 661,026/x
  3. Step 3: Cross multiply
    458,956x = 661,026 × 661,026
  4. Step 4: Simplify right side
    458,956x = 436,955,372,676
  5. Step 5: Solve for x
    x = 436,955,372,676/458,956
  6. Step 6: Final answer
    x = 952,063.75

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.