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Finding the Third Proportional to 300,168,534.38 and 650,440,692

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Solution

The third proportional to 300,168,534.38 and 650,440,692 is: 1,409,451,842.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,168,534.38 : 650,440,692 = 650,440,692 : x
  2. Step 2: Convert to fraction form
    300,168,534.38/650,440,692 = 650,440,692/x
  3. Step 3: Cross multiply
    300,168,534.38x = 650,440,692 × 650,440,692
  4. Step 4: Simplify right side
    300,168,534.38x = 423,073,093,809,438,848
  5. Step 5: Solve for x
    x = 423,073,093,809,438,848/300,168,534.38
  6. Step 6: Final answer
    x = 1,409,451,842.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.