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Finding the Third Proportional to 355,286.81 and 546,108.75

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Solution

The third proportional to 355,286.81 and 546,108.75 is: 839,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,286.81 : 546,108.75 = 546,108.75 : x
  2. Step 2: Convert to fraction form
    355,286.81/546,108.75 = 546,108.75/x
  3. Step 3: Cross multiply
    355,286.81x = 546,108.75 × 546,108.75
  4. Step 4: Simplify right side
    355,286.81x = 298,234,766,826.56
  5. Step 5: Solve for x
    x = 298,234,766,826.56/355,286.81
  6. Step 6: Final answer
    x = 839,419.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.