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Finding the Third Proportional to 297,002.25 and 393,828.75

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Solution

The third proportional to 297,002.25 and 393,828.75 is: 522,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.25 : 393,828.75 = 393,828.75 : x
  2. Step 2: Convert to fraction form
    297,002.25/393,828.75 = 393,828.75/x
  3. Step 3: Cross multiply
    297,002.25x = 393,828.75 × 393,828.75
  4. Step 4: Simplify right side
    297,002.25x = 155,101,084,326.56
  5. Step 5: Solve for x
    x = 155,101,084,326.56/297,002.25
  6. Step 6: Final answer
    x = 522,221.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.