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Finding the Third Proportional to 265,972 and 398,956

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Solution

The third proportional to 265,972 and 398,956 is: 598,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,972 : 398,956 = 398,956 : x
  2. Step 2: Convert to fraction form
    265,972/398,956 = 398,956/x
  3. Step 3: Cross multiply
    265,972x = 398,956 × 398,956
  4. Step 4: Simplify right side
    265,972x = 159,165,889,936
  5. Step 5: Solve for x
    x = 159,165,889,936/265,972
  6. Step 6: Final answer
    x = 598,431.00

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