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Finding the Third Proportional to 335,831.44 and 709,568.44

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Solution

The third proportional to 335,831.44 and 709,568.44 is: 1,499,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,831.44 : 709,568.44 = 709,568.44 : x
  2. Step 2: Convert to fraction form
    335,831.44/709,568.44 = 709,568.44/x
  3. Step 3: Cross multiply
    335,831.44x = 709,568.44 × 709,568.44
  4. Step 4: Simplify right side
    335,831.44x = 503,487,367,496.19
  5. Step 5: Solve for x
    x = 503,487,367,496.19/335,831.44
  6. Step 6: Final answer
    x = 1,499,226.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.