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Finding the Third Proportional to 333,238.50 and 721,851.75

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Solution

The third proportional to 333,238.50 and 721,851.75 is: 1,563,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,238.50 : 721,851.75 = 721,851.75 : x
  2. Step 2: Convert to fraction form
    333,238.50/721,851.75 = 721,851.75/x
  3. Step 3: Cross multiply
    333,238.50x = 721,851.75 × 721,851.75
  4. Step 4: Simplify right side
    333,238.50x = 521,069,948,978.06
  5. Step 5: Solve for x
    x = 521,069,948,978.06/333,238.50
  6. Step 6: Final answer
    x = 1,563,654.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.