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Finding the Third Proportional to 342,711 and 535,936.50

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Solution

The third proportional to 342,711 and 535,936.50 is: 838,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,711 : 535,936.50 = 535,936.50 : x
  2. Step 2: Convert to fraction form
    342,711/535,936.50 = 535,936.50/x
  3. Step 3: Cross multiply
    342,711x = 535,936.50 × 535,936.50
  4. Step 4: Simplify right side
    342,711x = 287,227,932,032.25
  5. Step 5: Solve for x
    x = 287,227,932,032.25/342,711
  6. Step 6: Final answer
    x = 838,105.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.