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Finding the Third Proportional to 422,901 and 647,746.88

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Solution

The third proportional to 422,901 and 647,746.88 is: 992,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,901 : 647,746.88 = 647,746.88 : x
  2. Step 2: Convert to fraction form
    422,901/647,746.88 = 647,746.88/x
  3. Step 3: Cross multiply
    422,901x = 647,746.88 × 647,746.88
  4. Step 4: Simplify right side
    422,901x = 419,576,014,072.27
  5. Step 5: Solve for x
    x = 419,576,014,072.27/422,901
  6. Step 6: Final answer
    x = 992,137.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.