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Finding the Third Proportional to 336,906.21 and 729,831.52

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Solution

The third proportional to 336,906.21 and 729,831.52 is: 1,581,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,906.21 : 729,831.52 = 729,831.52 : x
  2. Step 2: Convert to fraction form
    336,906.21/729,831.52 = 729,831.52/x
  3. Step 3: Cross multiply
    336,906.21x = 729,831.52 × 729,831.52
  4. Step 4: Simplify right side
    336,906.21x = 532,654,041,199.49
  5. Step 5: Solve for x
    x = 532,654,041,199.49/336,906.21
  6. Step 6: Final answer
    x = 1,581,015.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.