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Finding the Third Proportional to 385,263 and 511,200

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Solution

The third proportional to 385,263 and 511,200 is: 678,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,263 : 511,200 = 511,200 : x
  2. Step 2: Convert to fraction form
    385,263/511,200 = 511,200/x
  3. Step 3: Cross multiply
    385,263x = 511,200 × 511,200
  4. Step 4: Simplify right side
    385,263x = 261,325,440,000
  5. Step 5: Solve for x
    x = 261,325,440,000/385,263
  6. Step 6: Final answer
    x = 678,304.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.