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Finding the Third Proportional to 265,956.75 and 398,935.13

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Solution

The third proportional to 265,956.75 and 398,935.13 is: 598,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,956.75 : 398,935.13 = 398,935.13 : x
  2. Step 2: Convert to fraction form
    265,956.75/398,935.13 = 398,935.13/x
  3. Step 3: Cross multiply
    265,956.75x = 398,935.13 × 398,935.13
  4. Step 4: Simplify right side
    265,956.75x = 159,149,233,958.77
  5. Step 5: Solve for x
    x = 159,149,233,958.77/265,956.75
  6. Step 6: Final answer
    x = 598,402.69

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Why These Related Problems?

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