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Finding the Third Proportional to 397,370.25 and 594,492.75

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Solution

The third proportional to 397,370.25 and 594,492.75 is: 889,401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,370.25 : 594,492.75 = 594,492.75 : x
  2. Step 2: Convert to fraction form
    397,370.25/594,492.75 = 594,492.75/x
  3. Step 3: Cross multiply
    397,370.25x = 594,492.75 × 594,492.75
  4. Step 4: Simplify right side
    397,370.25x = 353,421,629,802.56
  5. Step 5: Solve for x
    x = 353,421,629,802.56/397,370.25
  6. Step 6: Final answer
    x = 889,401.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.