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Finding the Third Proportional to 210,899.25 and 457,791.75

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Solution

The third proportional to 210,899.25 and 457,791.75 is: 993,712.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,899.25 : 457,791.75 = 457,791.75 : x
  2. Step 2: Convert to fraction form
    210,899.25/457,791.75 = 457,791.75/x
  3. Step 3: Cross multiply
    210,899.25x = 457,791.75 × 457,791.75
  4. Step 4: Simplify right side
    210,899.25x = 209,573,286,368.06
  5. Step 5: Solve for x
    x = 209,573,286,368.06/210,899.25
  6. Step 6: Final answer
    x = 993,712.81

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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.