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Finding the Third Proportional to 201,920.63 and 440,513.63

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Solution

The third proportional to 201,920.63 and 440,513.63 is: 961,032.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,920.63 : 440,513.63 = 440,513.63 : x
  2. Step 2: Convert to fraction form
    201,920.63/440,513.63 = 440,513.63/x
  3. Step 3: Cross multiply
    201,920.63x = 440,513.63 × 440,513.63
  4. Step 4: Simplify right side
    201,920.63x = 194,052,253,810.64
  5. Step 5: Solve for x
    x = 194,052,253,810.64/201,920.63
  6. Step 6: Final answer
    x = 961,032.36

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Why These Related Problems?

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