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Finding the Third Proportional to 264,426.75 and 385,563.38

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Solution

The third proportional to 264,426.75 and 385,563.38 is: 562,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,426.75 : 385,563.38 = 385,563.38 : x
  2. Step 2: Convert to fraction form
    264,426.75/385,563.38 = 385,563.38/x
  3. Step 3: Cross multiply
    264,426.75x = 385,563.38 × 385,563.38
  4. Step 4: Simplify right side
    264,426.75x = 148,659,116,141.39
  5. Step 5: Solve for x
    x = 148,659,116,141.39/264,426.75
  6. Step 6: Final answer
    x = 562,193.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.