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Finding the Third Proportional to 246,077 and 385,513

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Solution

The third proportional to 246,077 and 385,513 is: 603,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,077 : 385,513 = 385,513 : x
  2. Step 2: Convert to fraction form
    246,077/385,513 = 385,513/x
  3. Step 3: Cross multiply
    246,077x = 385,513 × 385,513
  4. Step 4: Simplify right side
    246,077x = 148,620,273,169
  5. Step 5: Solve for x
    x = 148,620,273,169/246,077
  6. Step 6: Final answer
    x = 603,958.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.