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Finding the Third Proportional to 335,171.25 and 729,310.50

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Solution

The third proportional to 335,171.25 and 729,310.50 is: 1,586,931.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,171.25 : 729,310.50 = 729,310.50 : x
  2. Step 2: Convert to fraction form
    335,171.25/729,310.50 = 729,310.50/x
  3. Step 3: Cross multiply
    335,171.25x = 729,310.50 × 729,310.50
  4. Step 4: Simplify right side
    335,171.25x = 531,893,805,410.25
  5. Step 5: Solve for x
    x = 531,893,805,410.25/335,171.25
  6. Step 6: Final answer
    x = 1,586,931.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.