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Finding the Third Proportional to 593,194.50 and 919,283.63

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Solution

The third proportional to 593,194.50 and 919,283.63 is: 1,424,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,194.50 : 919,283.63 = 919,283.63 : x
  2. Step 2: Convert to fraction form
    593,194.50/919,283.63 = 919,283.63/x
  3. Step 3: Cross multiply
    593,194.50x = 919,283.63 × 919,283.63
  4. Step 4: Simplify right side
    593,194.50x = 845,082,383,193.14
  5. Step 5: Solve for x
    x = 845,082,383,193.14/593,194.50
  6. Step 6: Final answer
    x = 1,424,629.50

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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.