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Finding the Third Proportional to 200,577.25 and 440,522

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Solution

The third proportional to 200,577.25 and 440,522 is: 967,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,577.25 : 440,522 = 440,522 : x
  2. Step 2: Convert to fraction form
    200,577.25/440,522 = 440,522/x
  3. Step 3: Cross multiply
    200,577.25x = 440,522 × 440,522
  4. Step 4: Simplify right side
    200,577.25x = 194,059,632,484
  5. Step 5: Solve for x
    x = 194,059,632,484/200,577.25
  6. Step 6: Final answer
    x = 967,505.70

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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.