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Finding the Third Proportional to 524,904.75 and 814,331.25

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Solution

The third proportional to 524,904.75 and 814,331.25 is: 1,263,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,904.75 : 814,331.25 = 814,331.25 : x
  2. Step 2: Convert to fraction form
    524,904.75/814,331.25 = 814,331.25/x
  3. Step 3: Cross multiply
    524,904.75x = 814,331.25 × 814,331.25
  4. Step 4: Simplify right side
    524,904.75x = 663,135,384,726.56
  5. Step 5: Solve for x
    x = 663,135,384,726.56/524,904.75
  6. Step 6: Final answer
    x = 1,263,344.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.