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Finding the Third Proportional to 331,846.50 and 780,043.50

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Solution

The third proportional to 331,846.50 and 780,043.50 is: 1,833,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,846.50 : 780,043.50 = 780,043.50 : x
  2. Step 2: Convert to fraction form
    331,846.50/780,043.50 = 780,043.50/x
  3. Step 3: Cross multiply
    331,846.50x = 780,043.50 × 780,043.50
  4. Step 4: Simplify right side
    331,846.50x = 608,467,861,892.25
  5. Step 5: Solve for x
    x = 608,467,861,892.25/331,846.50
  6. Step 6: Final answer
    x = 1,833,582.28

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.