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Finding the Third Proportional to 326,047.50 and 498,796.25

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Solution

The third proportional to 326,047.50 and 498,796.25 is: 763,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,047.50 : 498,796.25 = 498,796.25 : x
  2. Step 2: Convert to fraction form
    326,047.50/498,796.25 = 498,796.25/x
  3. Step 3: Cross multiply
    326,047.50x = 498,796.25 × 498,796.25
  4. Step 4: Simplify right side
    326,047.50x = 248,797,699,014.06
  5. Step 5: Solve for x
    x = 248,797,699,014.06/326,047.50
  6. Step 6: Final answer
    x = 763,071.94

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.