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Finding the Third Proportional to 311,595.38 and 677,785.50

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Solution

The third proportional to 311,595.38 and 677,785.50 is: 1,474,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,595.38 : 677,785.50 = 677,785.50 : x
  2. Step 2: Convert to fraction form
    311,595.38/677,785.50 = 677,785.50/x
  3. Step 3: Cross multiply
    311,595.38x = 677,785.50 × 677,785.50
  4. Step 4: Simplify right side
    311,595.38x = 459,393,184,010.25
  5. Step 5: Solve for x
    x = 459,393,184,010.25/311,595.38
  6. Step 6: Final answer
    x = 1,474,326.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.