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Finding the Third Proportional to 326,508.47 and 494,691.05

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Solution

The third proportional to 326,508.47 and 494,691.05 is: 749,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,508.47 : 494,691.05 = 494,691.05 : x
  2. Step 2: Convert to fraction form
    326,508.47/494,691.05 = 494,691.05/x
  3. Step 3: Cross multiply
    326,508.47x = 494,691.05 × 494,691.05
  4. Step 4: Simplify right side
    326,508.47x = 244,719,231,858.28
  5. Step 5: Solve for x
    x = 244,719,231,858.28/326,508.47
  6. Step 6: Final answer
    x = 749,503.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.