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Finding the Third Proportional to 202,651.88 and 440,978.63

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Solution

The third proportional to 202,651.88 and 440,978.63 is: 959,587.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,651.88 : 440,978.63 = 440,978.63 : x
  2. Step 2: Convert to fraction form
    202,651.88/440,978.63 = 440,978.63/x
  3. Step 3: Cross multiply
    202,651.88x = 440,978.63 × 440,978.63
  4. Step 4: Simplify right side
    202,651.88x = 194,462,147,706.89
  5. Step 5: Solve for x
    x = 194,462,147,706.89/202,651.88
  6. Step 6: Final answer
    x = 959,587.21

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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.