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Finding the Third Proportional to 496,676.81 and 764,390.67

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Solution

The third proportional to 496,676.81 and 764,390.67 is: 1,176,405.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,676.81 : 764,390.67 = 764,390.67 : x
  2. Step 2: Convert to fraction form
    496,676.81/764,390.67 = 764,390.67/x
  3. Step 3: Cross multiply
    496,676.81x = 764,390.67 × 764,390.67
  4. Step 4: Simplify right side
    496,676.81x = 584,293,099,249.51
  5. Step 5: Solve for x
    x = 584,293,099,249.51/496,676.81
  6. Step 6: Final answer
    x = 1,176,405.03

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Why These Related Problems?

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