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Finding the Third Proportional to 326,014.50 and 498,708.75

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Solution

The third proportional to 326,014.50 and 498,708.75 is: 762,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,014.50 : 498,708.75 = 498,708.75 : x
  2. Step 2: Convert to fraction form
    326,014.50/498,708.75 = 498,708.75/x
  3. Step 3: Cross multiply
    326,014.50x = 498,708.75 × 498,708.75
  4. Step 4: Simplify right side
    326,014.50x = 248,710,417,326.56
  5. Step 5: Solve for x
    x = 248,710,417,326.56/326,014.50
  6. Step 6: Final answer
    x = 762,881.46

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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.