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Finding the Third Proportional to 326,575.13 and 494,785.13

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Solution

The third proportional to 326,575.13 and 494,785.13 is: 749,635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,575.13 : 494,785.13 = 494,785.13 : x
  2. Step 2: Convert to fraction form
    326,575.13/494,785.13 = 494,785.13/x
  3. Step 3: Cross multiply
    326,575.13x = 494,785.13 × 494,785.13
  4. Step 4: Simplify right side
    326,575.13x = 244,812,319,921.27
  5. Step 5: Solve for x
    x = 244,812,319,921.27/326,575.13
  6. Step 6: Final answer
    x = 749,635.54

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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.