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Finding the Third Proportional to 468,299.25 and 622,577.25

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Solution

The third proportional to 468,299.25 and 622,577.25 is: 827,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,299.25 : 622,577.25 = 622,577.25 : x
  2. Step 2: Convert to fraction form
    468,299.25/622,577.25 = 622,577.25/x
  3. Step 3: Cross multiply
    468,299.25x = 622,577.25 × 622,577.25
  4. Step 4: Simplify right side
    468,299.25x = 387,602,432,217.56
  5. Step 5: Solve for x
    x = 387,602,432,217.56/468,299.25
  6. Step 6: Final answer
    x = 827,681.09

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.