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Finding the Third Proportional to 211,454.44 and 457,968.38

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Solution

The third proportional to 211,454.44 and 457,968.38 is: 991,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,454.44 : 457,968.38 = 457,968.38 : x
  2. Step 2: Convert to fraction form
    211,454.44/457,968.38 = 457,968.38/x
  3. Step 3: Cross multiply
    211,454.44x = 457,968.38 × 457,968.38
  4. Step 4: Simplify right side
    211,454.44x = 209,735,032,500.14
  5. Step 5: Solve for x
    x = 209,735,032,500.14/211,454.44
  6. Step 6: Final answer
    x = 991,868.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.