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Finding the Third Proportional to 303,848 and 471,700

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Solution

The third proportional to 303,848 and 471,700 is: 732,276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,848 : 471,700 = 471,700 : x
  2. Step 2: Convert to fraction form
    303,848/471,700 = 471,700/x
  3. Step 3: Cross multiply
    303,848x = 471,700 × 471,700
  4. Step 4: Simplify right side
    303,848x = 222,500,890,000
  5. Step 5: Solve for x
    x = 222,500,890,000/303,848
  6. Step 6: Final answer
    x = 732,276.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.