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Finding the Third Proportional to 202,648.50 and 440,973

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Solution

The third proportional to 202,648.50 and 440,973 is: 959,578.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,648.50 : 440,973 = 440,973 : x
  2. Step 2: Convert to fraction form
    202,648.50/440,973 = 440,973/x
  3. Step 3: Cross multiply
    202,648.50x = 440,973 × 440,973
  4. Step 4: Simplify right side
    202,648.50x = 194,457,186,729
  5. Step 5: Solve for x
    x = 194,457,186,729/202,648.50
  6. Step 6: Final answer
    x = 959,578.71

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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.