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Finding the Third Proportional to 494,953.50 and 975,553.50

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Solution

The third proportional to 494,953.50 and 975,553.50 is: 1,922,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,953.50 : 975,553.50 = 975,553.50 : x
  2. Step 2: Convert to fraction form
    494,953.50/975,553.50 = 975,553.50/x
  3. Step 3: Cross multiply
    494,953.50x = 975,553.50 × 975,553.50
  4. Step 4: Simplify right side
    494,953.50x = 951,704,631,362.25
  5. Step 5: Solve for x
    x = 951,704,631,362.25/494,953.50
  6. Step 6: Final answer
    x = 1,922,816.25

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.