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Finding the Third Proportional to 215,433 and 468,762.75

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Solution

The third proportional to 215,433 and 468,762.75 is: 1,019,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,433 : 468,762.75 = 468,762.75 : x
  2. Step 2: Convert to fraction form
    215,433/468,762.75 = 468,762.75/x
  3. Step 3: Cross multiply
    215,433x = 468,762.75 × 468,762.75
  4. Step 4: Simplify right side
    215,433x = 219,738,515,787.56
  5. Step 5: Solve for x
    x = 219,738,515,787.56/215,433
  6. Step 6: Final answer
    x = 1,019,985.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.