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Finding the Third Proportional to 326,227.50 and 491,346

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Solution

The third proportional to 326,227.50 and 491,346 is: 740,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,227.50 : 491,346 = 491,346 : x
  2. Step 2: Convert to fraction form
    326,227.50/491,346 = 491,346/x
  3. Step 3: Cross multiply
    326,227.50x = 491,346 × 491,346
  4. Step 4: Simplify right side
    326,227.50x = 241,420,891,716
  5. Step 5: Solve for x
    x = 241,420,891,716/326,227.50
  6. Step 6: Final answer
    x = 740,038.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.