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Finding the Third Proportional to 283,406.06 and 423,597.09

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Solution

The third proportional to 283,406.06 and 423,597.09 is: 633,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,406.06 : 423,597.09 = 423,597.09 : x
  2. Step 2: Convert to fraction form
    283,406.06/423,597.09 = 423,597.09/x
  3. Step 3: Cross multiply
    283,406.06x = 423,597.09 × 423,597.09
  4. Step 4: Simplify right side
    283,406.06x = 179,434,497,833.45
  5. Step 5: Solve for x
    x = 179,434,497,833.45/283,406.06
  6. Step 6: Final answer
    x = 633,135.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.