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Finding the Third Proportional to 331,502.25 and 509,838.75

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Solution

The third proportional to 331,502.25 and 509,838.75 is: 784,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,502.25 : 509,838.75 = 509,838.75 : x
  2. Step 2: Convert to fraction form
    331,502.25/509,838.75 = 509,838.75/x
  3. Step 3: Cross multiply
    331,502.25x = 509,838.75 × 509,838.75
  4. Step 4: Simplify right side
    331,502.25x = 259,935,551,001.56
  5. Step 5: Solve for x
    x = 259,935,551,001.56/331,502.25
  6. Step 6: Final answer
    x = 784,113.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.