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Finding the Third Proportional to 333,796.50 and 721,296

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Solution

The third proportional to 333,796.50 and 721,296 is: 1,558,638.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,796.50 : 721,296 = 721,296 : x
  2. Step 2: Convert to fraction form
    333,796.50/721,296 = 721,296/x
  3. Step 3: Cross multiply
    333,796.50x = 721,296 × 721,296
  4. Step 4: Simplify right side
    333,796.50x = 520,267,919,616
  5. Step 5: Solve for x
    x = 520,267,919,616/333,796.50
  6. Step 6: Final answer
    x = 1,558,638.03

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.