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Finding the Third Proportional to 434,808 and 650,213.25

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Solution

The third proportional to 434,808 and 650,213.25 is: 972,330.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,808 : 650,213.25 = 650,213.25 : x
  2. Step 2: Convert to fraction form
    434,808/650,213.25 = 650,213.25/x
  3. Step 3: Cross multiply
    434,808x = 650,213.25 × 650,213.25
  4. Step 4: Simplify right side
    434,808x = 422,777,270,475.56
  5. Step 5: Solve for x
    x = 422,777,270,475.56/434,808
  6. Step 6: Final answer
    x = 972,330.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.