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Finding the Third Proportional to 524,976.38 and 814,437.75

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Solution

The third proportional to 524,976.38 and 814,437.75 is: 1,263,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,976.38 : 814,437.75 = 814,437.75 : x
  2. Step 2: Convert to fraction form
    524,976.38/814,437.75 = 814,437.75/x
  3. Step 3: Cross multiply
    524,976.38x = 814,437.75 × 814,437.75
  4. Step 4: Simplify right side
    524,976.38x = 663,308,848,625.06
  5. Step 5: Solve for x
    x = 663,308,848,625.06/524,976.38
  6. Step 6: Final answer
    x = 1,263,502.28

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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.