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Finding the Third Proportional to 384,351 and 818,598

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Solution

The third proportional to 384,351 and 818,598 is: 1,743,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,351 : 818,598 = 818,598 : x
  2. Step 2: Convert to fraction form
    384,351/818,598 = 818,598/x
  3. Step 3: Cross multiply
    384,351x = 818,598 × 818,598
  4. Step 4: Simplify right side
    384,351x = 670,102,685,604
  5. Step 5: Solve for x
    x = 670,102,685,604/384,351
  6. Step 6: Final answer
    x = 1,743,465.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.