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Finding the Third Proportional to 383,216.06 and 791,030.81

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Solution

The third proportional to 383,216.06 and 791,030.81 is: 1,632,837.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,216.06 : 791,030.81 = 791,030.81 : x
  2. Step 2: Convert to fraction form
    383,216.06/791,030.81 = 791,030.81/x
  3. Step 3: Cross multiply
    383,216.06x = 791,030.81 × 791,030.81
  4. Step 4: Simplify right side
    383,216.06x = 625,729,746,324.41
  5. Step 5: Solve for x
    x = 625,729,746,324.41/383,216.06
  6. Step 6: Final answer
    x = 1,632,837.99

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.