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Finding the Third Proportional to 300,499.50 and 467,982

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Solution

The third proportional to 300,499.50 and 467,982 is: 728,810.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,499.50 : 467,982 = 467,982 : x
  2. Step 2: Convert to fraction form
    300,499.50/467,982 = 467,982/x
  3. Step 3: Cross multiply
    300,499.50x = 467,982 × 467,982
  4. Step 4: Simplify right side
    300,499.50x = 219,007,152,324
  5. Step 5: Solve for x
    x = 219,007,152,324/300,499.50
  6. Step 6: Final answer
    x = 728,810.37

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.