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Finding the Third Proportional to 200,580.75 and 440,529.75

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Solution

The third proportional to 200,580.75 and 440,529.75 is: 967,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,580.75 : 440,529.75 = 440,529.75 : x
  2. Step 2: Convert to fraction form
    200,580.75/440,529.75 = 440,529.75/x
  3. Step 3: Cross multiply
    200,580.75x = 440,529.75 × 440,529.75
  4. Step 4: Simplify right side
    200,580.75x = 194,066,460,635.06
  5. Step 5: Solve for x
    x = 194,066,460,635.06/200,580.75
  6. Step 6: Final answer
    x = 967,522.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.