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Finding the Third Proportional to 265,902 and 399,037

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Solution

The third proportional to 265,902 and 399,037 is: 598,831.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,902 : 399,037 = 399,037 : x
  2. Step 2: Convert to fraction form
    265,902/399,037 = 399,037/x
  3. Step 3: Cross multiply
    265,902x = 399,037 × 399,037
  4. Step 4: Simplify right side
    265,902x = 159,230,527,369
  5. Step 5: Solve for x
    x = 159,230,527,369/265,902
  6. Step 6: Final answer
    x = 598,831.63

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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.