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Finding the Third Proportional to 326,698.88 and 494,974.13

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Solution

The third proportional to 326,698.88 and 494,974.13 is: 749,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,698.88 : 494,974.13 = 494,974.13 : x
  2. Step 2: Convert to fraction form
    326,698.88/494,974.13 = 494,974.13/x
  3. Step 3: Cross multiply
    326,698.88x = 494,974.13 × 494,974.13
  4. Step 4: Simplify right side
    326,698.88x = 244,999,384,419.52
  5. Step 5: Solve for x
    x = 244,999,384,419.52/326,698.88
  6. Step 6: Final answer
    x = 749,924.18

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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.