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Finding the Third Proportional to 523,138.50 and 804,390.75

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Solution

The third proportional to 523,138.50 and 804,390.75 is: 1,236,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,138.50 : 804,390.75 = 804,390.75 : x
  2. Step 2: Convert to fraction form
    523,138.50/804,390.75 = 804,390.75/x
  3. Step 3: Cross multiply
    523,138.50x = 804,390.75 × 804,390.75
  4. Step 4: Simplify right side
    523,138.50x = 647,044,478,685.56
  5. Step 5: Solve for x
    x = 647,044,478,685.56/523,138.50
  6. Step 6: Final answer
    x = 1,236,851.19

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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.