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Finding the Third Proportional to 200,596.50 and 440,553

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Solution

The third proportional to 200,596.50 and 440,553 is: 967,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,596.50 : 440,553 = 440,553 : x
  2. Step 2: Convert to fraction form
    200,596.50/440,553 = 440,553/x
  3. Step 3: Cross multiply
    200,596.50x = 440,553 × 440,553
  4. Step 4: Simplify right side
    200,596.50x = 194,086,945,809
  5. Step 5: Solve for x
    x = 194,086,945,809/200,596.50
  6. Step 6: Final answer
    x = 967,549.01

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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.