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Finding the Third Proportional to 326,564.44 and 494,767.69

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Solution

The third proportional to 326,564.44 and 494,767.69 is: 749,607.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,564.44 : 494,767.69 = 494,767.69 : x
  2. Step 2: Convert to fraction form
    326,564.44/494,767.69 = 494,767.69/x
  3. Step 3: Cross multiply
    326,564.44x = 494,767.69 × 494,767.69
  4. Step 4: Simplify right side
    326,564.44x = 244,795,064,594.10
  5. Step 5: Solve for x
    x = 244,795,064,594.10/326,564.44
  6. Step 6: Final answer
    x = 749,607.23

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Why These Related Problems?

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