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Finding the Third Proportional to 200,573.50 and 440,515.25

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Solution

The third proportional to 200,573.50 and 440,515.25 is: 967,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,573.50 : 440,515.25 = 440,515.25 : x
  2. Step 2: Convert to fraction form
    200,573.50/440,515.25 = 440,515.25/x
  3. Step 3: Cross multiply
    200,573.50x = 440,515.25 × 440,515.25
  4. Step 4: Simplify right side
    200,573.50x = 194,053,685,482.56
  5. Step 5: Solve for x
    x = 194,053,685,482.56/200,573.50
  6. Step 6: Final answer
    x = 967,494.14

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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.