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Finding the Third Proportional to 393,810.75 and 804,253.50

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Solution

The third proportional to 393,810.75 and 804,253.50 is: 1,642,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,810.75 : 804,253.50 = 804,253.50 : x
  2. Step 2: Convert to fraction form
    393,810.75/804,253.50 = 804,253.50/x
  3. Step 3: Cross multiply
    393,810.75x = 804,253.50 × 804,253.50
  4. Step 4: Simplify right side
    393,810.75x = 646,823,692,262.25
  5. Step 5: Solve for x
    x = 646,823,692,262.25/393,810.75
  6. Step 6: Final answer
    x = 1,642,473.43

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.