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Finding the Third Proportional to 400,744.13 and 817,831.69

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Solution

The third proportional to 400,744.13 and 817,831.69 is: 1,669,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,744.13 : 817,831.69 = 817,831.69 : x
  2. Step 2: Convert to fraction form
    400,744.13/817,831.69 = 817,831.69/x
  3. Step 3: Cross multiply
    400,744.13x = 817,831.69 × 817,831.69
  4. Step 4: Simplify right side
    400,744.13x = 668,848,669,079.10
  5. Step 5: Solve for x
    x = 668,848,669,079.10/400,744.13
  6. Step 6: Final answer
    x = 1,669,016.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.