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Finding the Third Proportional to 326,233.50 and 499,102.50

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Solution

The third proportional to 326,233.50 and 499,102.50 is: 763,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,233.50 : 499,102.50 = 499,102.50 : x
  2. Step 2: Convert to fraction form
    326,233.50/499,102.50 = 499,102.50/x
  3. Step 3: Cross multiply
    326,233.50x = 499,102.50 × 499,102.50
  4. Step 4: Simplify right side
    326,233.50x = 249,103,305,506.25
  5. Step 5: Solve for x
    x = 249,103,305,506.25/326,233.50
  6. Step 6: Final answer
    x = 763,573.65

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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.