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Finding the Third Proportional to 374,182.03 and 820,831.22

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Solution

The third proportional to 374,182.03 and 820,831.22 is: 1,800,631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,182.03 : 820,831.22 = 820,831.22 : x
  2. Step 2: Convert to fraction form
    374,182.03/820,831.22 = 820,831.22/x
  3. Step 3: Cross multiply
    374,182.03x = 820,831.22 × 820,831.22
  4. Step 4: Simplify right side
    374,182.03x = 673,763,889,674.61
  5. Step 5: Solve for x
    x = 673,763,889,674.61/374,182.03
  6. Step 6: Final answer
    x = 1,800,631.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.