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Finding the Third Proportional to 246,226 and 385,701

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Solution

The third proportional to 246,226 and 385,701 is: 604,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,226 : 385,701 = 385,701 : x
  2. Step 2: Convert to fraction form
    246,226/385,701 = 385,701/x
  3. Step 3: Cross multiply
    246,226x = 385,701 × 385,701
  4. Step 4: Simplify right side
    246,226x = 148,765,261,401
  5. Step 5: Solve for x
    x = 148,765,261,401/246,226
  6. Step 6: Final answer
    x = 604,181.77

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