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Finding the Third Proportional to 257,679 and 385,333

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Solution

The third proportional to 257,679 and 385,333 is: 576,226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,679 : 385,333 = 385,333 : x
  2. Step 2: Convert to fraction form
    257,679/385,333 = 385,333/x
  3. Step 3: Cross multiply
    257,679x = 385,333 × 385,333
  4. Step 4: Simplify right side
    257,679x = 148,481,520,889
  5. Step 5: Solve for x
    x = 148,481,520,889/257,679
  6. Step 6: Final answer
    x = 576,226.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.